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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kawakita, MQ; Ballet, S (ed.); Perret, M (ed.); Zaytsev, A (ed.), Wiman's and edge's sextic attaining serre's bound II, No. 637, 191-203, (2015), Providence Curves over finite and local fields, Rational points, Heights, Geometric methods (including applications of algebraic geometry) applied to coding theory
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Modular and Shimura varieties, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Geometry over the field with one element, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic properties of periodic points, (Equivariant) Chow groups and rings; motives, Noncommutative algebraic geometry, Other Dirichlet series and zeta functions, Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.), Quantum equilibrium statistical mechanics (general)
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Bachmat, E. : A Fourier transform construction for Arakelov Chow groups of arithmetic abelian schemes . Duke Math. J., Int. Math. Res. Notices, No. 7, (1993), 227-232. Arithmetic ground fields for abelian varieties, Parametrization (Chow and Hilbert schemes), Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Holmes, D.: Néron models of jacobians over base schemes of dimension greater than 1. J. Reine Angew. Math. http://arxiv.org/abs/1402.0647 (2014) Arithmetic ground fields for abelian varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Special algebraic curves and curves of low genus, Elliptic curves, Global ground fields in algebraic geometry, Elliptic curves over global fields, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Rigid analytic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Arithmetic ground fields (finite, local, global) and families or fibrations, Arithmetic ground fields for curves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Andreas-Stephan Elsenhans and Jörg Jahnel, The asymptotics of points of bounded height on diagonal cubic and quartic threefolds, Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 317 -- 332. Rational points, Varieties over global fields, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Bilu, Yuri F.; Tichy, Robert F., The Diophantine equation \(f(x)=g(y)\), Acta Arith., 95, 3, 261-288, (2000) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, Special algebraic curves and curves of low genus, Arithmetic ground fields for curves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Harbater, D.: Potential theory over local and global fields, II. J. algebra 148, 384-432 (1992) Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Arithmetic ground fields for curves, Global ground fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Denef, Jan; Loeser, François, Definable sets, motives and \(p\)-adic integrals, J. Amer. Math. Soc., 0894-0347, 14, 2, 429-469, (2001) Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Quantifier elimination, model completeness, and related topics, Applications of model theory, Other classical first-order model theory, Abstract model theory, Field arithmetic, Model theory of fields, Finite ground fields in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Varieties over finite and local fields, Zeta functions and \(L\)-functions, Ultraproducts and field theory, Étale and other Grothendieck topologies and (co)homologies, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for surfaces or higher-dimensional varieties, Motivic cohomology; motivic homotopy theory
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Tzermias P.: Algebraic points of low degree on the Fermat curve of degree seven. Manuscripta Math. 97, 483--488 (1998) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Elsenhans, A-S, Rational points on some Fano quadratic bundles, Exp. Math., 20, 373-379, (2011) Heights, Varieties over global fields, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Coverings of curves, fundamental group, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields N. Templier, Minoration du rang des courbes elliptiques sur les corps de classes de Hilbert, en préparation Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Complex multiplication and moduli of abelian varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Elliptic curves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Elliptic curves over global fields, Heights, Elliptic curves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields P. Corvaja and U. Zannier, On integral points on surfaces, Ann. of Math. (2) 160 (2004), no. 2, 705-726. Varieties over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields B. Green, The relative genus inequality for curves over valuation rings, Journal of Algebra 181 (1996), 836--856. Special algebraic curves and curves of low genus, Valuation rings, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic number theory: local fields, Jacobians, Prym varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Varieties over global fields, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Dynamical systems over global ground fields, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Heights, Galois theory, Global ground fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Semialgebraic sets and related spaces, Triangulation and topological properties of semi-analytic and subanalytic sets, and related questions, Heights, \(C^\infty\)-functions, quasi-analytic functions, Semi-analytic sets, subanalytic sets, and generalizations, Combinatorial aspects of partitions of integers, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields \(p\)-adic theory, local fields, Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Heights, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Formal groups, \(p\)-divisible groups
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Varieties over global fields, Heights, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields [9] Ikoma (H.).-- Boundedness of the successive minima on arithmetic varieties, to appear in J. Algebraic Geometry. &MR~30 | &Zbl~1273. Arithmetic varieties and schemes; Arakelov theory; heights, Divisors, linear systems, invertible sheaves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Relationships between algebraic curves and physics, Vector bundles on curves and their moduli, Class field theory, Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Edixhoven, B; Jong, R; Schepers, J, Covers of surfaces with fixed branch locus, Int. J. Math., 21, 859-874, (2010) Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Ramification problems in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Chinburg, T.; Pappas, G.; Taylor, M. J.: Cubic structures, equivariant Euler characteristics and lattices of modular forms, Ann. of math. (2) 170, No. 2, 561-608 (2009) Riemann-Roch theorems, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic varieties and schemes; Arakelov theory; heights, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Riemann-Roch theorems, Chern characters
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Coverings of curves, fundamental group, Arithmetic varieties and schemes; Arakelov theory; heights, Families, moduli of curves (algebraic)
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Metric theory, Rational points, Toric varieties, Newton polyhedra, Okounkov bodies
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields A. Pethő and S. Schmitt, Elements with bounded height in number fields, Period. Math. Hungar. 43 (2001), no. 1-2, 31 -- 41. Integral representations related to algebraic numbers; Galois module structure of rings of integers, Heights, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Determinants and determinant bundles, analytic torsion, Riemann-Roch theorems
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Gaudron, É., Pentes des fibrés vectoriels adéliques sur un corps global, Rendiconti del Seminario Matematico della Università di Padova, 119, 21-95, (2008) Arithmetic varieties and schemes; Arakelov theory; heights, Adèle rings and groups, Algebraic moduli problems, moduli of vector bundles
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Pacelli, P., Uniform boundedness for rational points, Duke Math. J., 88, 77-102, (1997) Rational points, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Voloch, J.F., Diophantine approximation on abelian varieties in characteristic \textit{p}, Amer. J. math., 117, 4, 1089-1095, (1995) Varieties over global fields, Algebraic theory of abelian varieties, Abelian varieties of dimension \(> 1\), Algebraic functions and function fields in algebraic geometry, Diophantine approximation, transcendental number theory
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Howard, B, Intersection theory on Shimura surfaces II, Invent. Math., 183, 1-77, (2011) Modular and Shimura varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Yuri Tschinkel, Finite heights and rational points on surfaces, Advances in number theory (Kingston, ON, 1991) Oxford Sci. Publ., Oxford Univ. Press, New York, 1993, pp. 319 -- 329. Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Special surfaces
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields P. Vojta, On the \textit{ABC} conjecture and Diophantine approximation by rational points, Amer. J. Math. 122 (2000), no. 4, 843-872. Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Diophantine inequalities, Varieties over global fields, Heights, Diophantine inequalities, Global ground fields in algebraic geometry, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Elliptic curves over local fields, Heights, Global ground fields in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Tchernev, A.: Acyclicity criteria for complexes associated with an alternating map. Proc. amer. Math. soc. 129, No. 10, 2861-2869 (2001) Syzygies, resolutions, complexes and commutative rings, Homological dimension and commutative rings, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Bruns, W.; Kustin, A. R.; Miller, M., The resolution of the generic residual intersection of a complete intersection, J. Algebra, 128, 214-239, (1990) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Complete intersections, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Laurent Busé, Resultants of determinantal varieties, J. Pure Appl. Algebra 193 (2004), no. 1-3, 71 -- 97. Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Effectivity, complexity and computational aspects of algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties C. Raicu, Representation stability for syzygies of line bundles on Segre-Veronese varieties, arXiv:1209.1183 (2012). Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Combinatorial aspects of representation theory, Simplicial sets and complexes in algebraic topology, Divisors, linear systems, invertible sheaves
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties M. Bernardara, M. Bolognesi and D. Faenzi, Homological projective duality for determinantal varieties, preprint (2014), . Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Derived categories and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Representations of quivers and partially ordered sets, Singularities in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Grassmannians, Schubert varieties, flag manifolds
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Nagel, U.; Römer, T., Criteria for componentwise linearity, Commun. Algebra., 43, 1-18, (2015) Syzygies, resolutions, complexes and commutative rings, Structure, classification theorems for modules and ideals in commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Berkesch Zamaere, C.; Erman, D.; Kummini, M.; Sam, S. V, \textit{tensor complexes: multilinear free resolutions constructed from higher tensors}, J. Eur. Math. Soc. (JEMS), 15, 2257-2295, (2013) Syzygies, resolutions, complexes and commutative rings, Multilinear algebra, tensor calculus, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Cunha, R.; Ramos, Z.; Simis, A., Degenerations of the generic square matrix, the polar map and the determinantal structure, Internat. J. Algebra Comput., 28, 1255-1297, (2018) Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Rational and birational maps, Determinantal varieties, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties T. Fukui and J. Weyman, Cohen-Macaulay properties of Thom-Boardman strata II, The defining ideals of \(\Sigma^{i, j}\), Proc. London Math. Soc. (3) 87 (2003), 137-163. Algebraic and analytic properties of mappings on manifolds, Syzygies, resolutions, complexes and commutative rings, Singularities in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties, Differentiable maps on manifolds
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Combinatorial aspects of simplicial complexes, Syzygies, resolutions, complexes and commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Determinantal varieties, \(n\)-folds (\(n>4\))
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Raicu, C., Weyman, J.: The syzygies of some thickenings of determinantal varieties. arXiv:1411.0151v1 Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties DOI: 10.1016/S0022-4049(99)00146-2 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Determinantal varieties, Curves in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Boffi, G.; Sánchez, R.: Some classical formulas and a determinantal ideal. Seminari di geometria (1989) Linkage, complete intersections and determinantal ideals, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Enright, T.J., Hunziker, M.: Resolutions and Hilbert series of the unitary highest weight modules of the exceptional groups. Representat. Theory 8, 15--51 (2004) (electronic). MR MR2048586 (2004m:17007) Semisimple Lie groups and their representations, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties G. Fløystad, J. Kileel and G. Ottaviani, \textit{The Chow variety of the essential variety in computer vision}, arXiv:1604.04372 (2016). Machine vision and scene understanding, Cohen-Macaulay modules, Syzygies, resolutions, complexes and commutative rings, Parametrization (Chow and Hilbert schemes), Determinantal varieties, Computational aspects of higher-dimensional varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Kleppe, J.O.: Families of artinian and low dimensional determinantal rings. arXiv:1506.08087 Linkage, complete intersections and determinantal ideals, Parametrization (Chow and Hilbert schemes), Deformations and infinitesimal methods in commutative ring theory, Determinantal varieties, Commutative Artinian rings and modules, finite-dimensional algebras, Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.), Graded rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Bruns, Winfried; Conca, Aldo, Linear resolutions of powers and products. Singularities and computer algebra, 47-69, (2017), Springer, Cham Syzygies, resolutions, complexes and commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Determinantal varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties M. Mostafazadehfard and A. Simis, Corrigendum to ''Homaloidal determinants'', \textbf{450} (2016) 59-101. Determinantal varieties, Polynomials over commutative rings, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Multiplicity theory and related topics, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Hypersurfaces and algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Rational and birational maps, Determinantal varieties, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Gel'fand, I.; Zelevinskiǐand, A.; Kapranov, M., Discriminants of polynomials in several variables and triangulations of Newton polyhedra, Algebra i Analiz, 2, 1, (1990) Toric varieties, Newton polyhedra, Okounkov bodies, Polynomial rings and ideals; rings of integer-valued polynomials, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Eisenbud, David; Fløystad, Gunnar; Weyman, Jerzy, The existence of equivariant pure free resolutions, Ann. Inst. Fourier, 61, 905-926, (2011) Syzygies, resolutions, complexes and commutative rings, Cohen-Macaulay modules, Determinantal varieties, Representation theory for linear algebraic groups
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Representations of quivers and partially ordered sets, Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients), Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Sheaves in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Kreuzer, M; Migliore, J; Nagel, U; Peterson, C, Determinantal schemes and Buchsbaum-rim sheaves, J. Pure Appl. Algebra, 150, 155-174, (2000) Determinantal varieties, Complete intersections, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Linkage, complete intersections and determinantal ideals
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Kurano, K.: The first syzygies of determinantal ideals. J. Algebra 124, 414--436 (1989) Linkage, complete intersections and determinantal ideals, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties D. Eisenbud, S. Popescu, and C. Walter, Lagrangian subbundles and codimension \(3\) subcanonical subschemes , Duke Math. J. 107 (2001), 427--467. Low codimension problems in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties I.M.~Gel'fand, M.M.~Kapranov and A.V.~Zelevinsky, \textit{Discriminants, resultants and multidimensional determinants}, Birkhäuser, Boston, 1994. Toric varieties, Newton polyhedra, Okounkov bodies, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Determinantal varieties, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Linkage, complete intersections and determinantal ideals, Determinants, permanents, traces, other special matrix functions, Polynomial rings and ideals; rings of integer-valued polynomials, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties S. V. Sam and J. Weyman, Littlewood complexes and analogues of determinantal varieties, Int. Math. Res. Not. IMRN, (2015), no. 13, 4663--4707.Zbl 1316.05127 MR 3439089 algebras, J. Algebra, 299 (2006), no. 1, 33--61.Zbl 1122.17018 MR 2225764 Combinatorial aspects of representation theory, Syzygies, resolutions, complexes and commutative rings, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Ramos, Z.; Simis, A.: An analogue of the aluffi algebra for modules. (21 Jan 2016) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Graded rings, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties DOI: 10.4134/JKMS.2002.39.6.821 Group actions on varieties or schemes (quotients), Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Multilinear algebra, tensor calculus, Geometric invariant theory, Parametrization (Chow and Hilbert schemes)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Emilio Briales, Pilar Pisón, Antonio Campillo, and Carlos Marijuán, Combinatorics of syzygies for semigroup algebras, Collect. Math. 49 (1998), no. 2-3, 239 -- 256. Dedicated to the memory of Fernando Serrano. Syzygies, resolutions, complexes and commutative rings, Simplicial sets and complexes in algebraic topology, Toric varieties, Newton polyhedra, Okounkov bodies, Semigroup rings, multiplicative semigroups of rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Graf von Bothmer, H.-Ch.; Ebeling, Wolfgang; Gómez-Mont, Xavier, An algebraic formula for the index of a vector field on an isolated complete intersection singularity, Ann. Inst. Fourier (Grenoble), 58, 5, 1761-1783, (2008) Singularities of holomorphic vector fields and foliations, Singularities in algebraic geometry, Computational aspects of algebraic surfaces, Syzygies, resolutions, complexes and commutative rings, Multiplicity theory and related topics, Complex surface and hypersurface singularities, Singularities of vector fields, topological aspects
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Sam, SV, Schubert complexes and degeneracy loci, J. Algebra, 337, 103-125, (2011) Syzygies, resolutions, complexes and commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties \beginbarticle \bauthor\binitsD. \bsnmEisenbud and \bauthor\binitsS. \bsnmGoto, \batitleLinear free resolutions and minimal multiplicity, \bjtitleJ. Algebra \bvolume88 (\byear1984), page 89-\blpage133. \endbarticle \OrigBibText David Eisenbud and Shiro Goto, Linear free resolutions and minimal multiplicity . J. Algebra 88 (1984), 89-133. \endOrigBibText \bptokstructpyb \endbibitem Multiplicity theory and related topics, Determinantal varieties, Projective and free modules and ideals in commutative rings, Local cohomology and algebraic geometry, Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects), (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Bruns, W., Conca, A., Varbaro, M.: Maximal minors and linear powers. J. Reine Angew. Math. 702, 41--53 (2015) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Juan Migliore, Uwe Nagel, and Tim Römer, Extensions of the multiplicity conjecture, Trans. Amer. Math. Soc. 360 (2008), no. 6, 2965 -- 2985. Multiplicity theory and related topics, Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Sam, S. V; Weyman, J., \textit{Pieri resolutions for classical groups}, J. Algebra, 329, 222-259, (2011) Representation theory for linear algebraic groups, Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Classical groups (algebro-geometric aspects)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties S. Giuffrida, R. Maggioni, and A. Ragusa, Resolutions of generic points lying on a smooth quadric,Manuscripta Math. 91 (1996), 421--444. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties, Global theory and resolution of singularities (algebro-geometric aspects), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Toric varieties, Newton polyhedra, Okounkov bodies, Solving polynomial systems; resultants, Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Eigenvalues, singular values, and eigenvectors
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Corso, Alberto; Polini, Claudia: Commutative algebra and its connections to geometry. Contemp. math. 555 (2011) Proceedings, conferences, collections, etc. pertaining to commutative algebra, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Parametrization (Chow and Hilbert schemes), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Determinantal varieties, Projective techniques in algebraic geometry, Proceedings of conferences of miscellaneous specific interest
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Kleppe, J.O.; Miró-Roig, R.M., Dimension of families of determinantal schemes, Trans. am. math. soc., 357, 2871-2907, (2005) Determinantal varieties, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Parametrization (Chow and Hilbert schemes), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties DOI: 10.1215/S0012-7094-94-07510-8 Linkage, complete intersections and determinantal ideals, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Lovett, S. T.: Orthogonal and symplectic analogues of determinantal ideals. J. algebra 291, 416-456 (2005) Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Determinantal varieties, Linkage, complete intersections and determinantal ideals
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Fisher, T.: Pfaffian presentations of elliptic normal curves, Trans. Amer. Math. Soc. \textbf{362} (2010), 2525--2540 Elliptic curves, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Representations of quivers and partially ordered sets
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Hashimoto, M.: Resolutions of determinantal ideals: t-minors of (t + 2) \({\times}\) n matrices. J. algebra 142, 456-491 (1991) Linkage, complete intersections and determinantal ideals, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Sturmfels, B.: Gröbner Bases and Convex Polytopes. University Lecture Series 8. American Mathematical Society, Providence, RI (1996) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties D. Eisenbud, S. Popescu, F.-O. Schreyer and C. Walter, Exterior algebra methods for the minimal resolution conjecture, Duke Math. J. 112 (2002), 379-395. Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective and free modules and ideals in commutative rings, Exterior algebra, Grassmann algebras
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties D. Eisenbud, J. Koh: Some linear syzygy conjectures, Adv. Math.90, 47--76 (1991) Syzygies, resolutions, complexes and commutative rings, Grassmannians, Schubert varieties, flag manifolds
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties N. Gonciulea. Singular loci of varieties of complexes. II. \textit{J. Algebra } 235 (2001), 547--558. Determinantal varieties, Linkage, complete intersections and determinantal ideals, Singularities in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Mostafazadehfard, M.; Simis, A., Homaloidal determinants, J. Algebra, 450, 59-101, (2016) Determinantal varieties, Polynomials over commutative rings, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Multiplicity theory and related topics, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Hypersurfaces and algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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