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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Picard's theorem; infinitely many integral or rational points; Nevanlinna theory; higher-dimensional Mordell conjecture Vojta, P. : A higher dimensional Mordell conjecture . In: Arithmetic Geometry , ed. by G. Cornell and J. Silverman. Springer-Verlag (1986) 334-346. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. pluricanonical bundles; Fujita's conjecture; effective results | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. density measure; rational points; abelian variety; rank; Mordell-Weil group; Néron-Tate height Waldschmidt M.: Density measure of rational points on abelian varieties. Nagoya Math. J. 155, 27--53 (1999) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. canonical curves; syzygies; Green's conjecture; finite fields | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. cubic diophantine equations; multiplicative heights; elliptic equation; upper bounds DOI: 10.1017/S0004972700031592 | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. effective lower bounds; linear forms in logarithms of algebraic numbers; analytic subgroup theorem; algebraic groups; isogenies of abelian varieties; Tate's conjecture; semisimplicity of the Tate module; Arakelov theory | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Eichler-Shimura cohomology; quaternion algebras; abelian scheme; Shimura curve; Hasse-Weil zeta function; Ramanujan-Petersson conjecture M. Ohta, On the zeta function of an abelian scheme over the Shimura curve II , Galois Groups and Their Representations (Nagoya, 1981), Advanced Studies in Pure Mathematics, vol. 2, North-Holland, Amsterdam-New York, 1983, pp. 37-54. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Grassmann variety; Severi-Brauer variety; Amitsur's conjecture; torsor M. Florence, Géométrie birationnelle équivariante des grassmanniennes, J. reine angew. Math., 674, 81-98, (2013) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Schmidt's subspace theorem; Roth's theorem; Diophantine approximation; Vojta's conjecture | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Jacobian; function field; Abel-Jacobi embedding; Bogomolov's conjecture A. Moriwaki, Bogomolov conjecture for curves of genus 2 over function fields, J. Math. Kyoto Univ. 36 (1996), 687-695. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Fermat curve; regulator; theta series; numerical evidence for Beilinson's conjecture Kimura, Ken-Ichiro, \(K_2\) of a Fermat quotient and the value of its \(L\)-function, \(K\)-Theory, 10, 1, 73-82, (1996) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. arithmetic Siegel-Weil formula; arithmetic intersection | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. norm pairing; Galois representations; formal group of finite height; Hilbert's symbol; local field; Tate module; isogeny Benois, D. G.; Vostokov, S. V., Norm pairing in formal groups and Galois representations, Leningr.Math. J., 2, 1221-1249, (1991) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. arithmetic Gan-Gross-Prasad conjecture; arithmetic fundamental lemma; Rapoport-Zink space; special cycles | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Manin's conjecture; universal torsors; rational points; integral points; cubic surface; singular T.D. Browning and U. Derenthal, Manin's conjecture for a cubic surface with \(\mathbf{D}_5\) singularity , Int. Math. Res. Not. 14 (2009), 2620-2647. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. uniformity conjecture; Lang's conjectures; distribution of rational points L.Caporaso, J.Harris, B.Mazur. Uniformity of rational points. Preliminary version of this paper, available by anonymous ftp from math.harvard.edu. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. geometric heights; section of surjective morphisms; Mordell conjecture over function fields Esnault, Hélène; Viehweg, Eckart, Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields, Compos. Math., 0010-437X, 76, 1-2, 69\textendash 85 pp., (1990) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. elliptic curves; Nagell-Lutz theorem; Mordell-Weil theorem; Thue-Siegel theorem; finite fields; complex multiplication; torsion points; factorization; elliptic curve cryptography Silverman, J. H.; Tate, J. T., Rational Points on Elliptic Curves. Undergraduate Texts in Mathematics, (2015), Springer, Cham | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. \(\ell\)-adic sheaves; Lang-Weil estimate; Deligne's equidistrubution theorem Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373 (2040) pp 20140312-- (2015) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Horn's conjecture; Hermitian matrices; extremal rays; equivariant Littlewood-Richardson cone | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Fermat's curves; Jacobians; Mordell-Weil group | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. global generalization of Honda's result; formal groups; Gauss sums; integral representations; characters of odd prime conductor Childress, N.; Stopple, J.: Formal groups and Dirichlet L-functions, II. J. number theory 41, 295-302 (1992) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. complex multiplication; Weil cycles; Hodge conjecture; abelian variety DOI: 10.1007/s00209-003-0595-y | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. hyperkähler variety; Calabi-Yau variety; arithmetic model; Brauer group; Artin's conjecture; \(K3\)-surface; abelian surface; Hilbert scheme of points; generalized Kummer variety; Hilbert modular surface | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Iwasawa theory; Chern classes; Greenberg's conjecture; Katz \(p\)-adic \(L\)-functions | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Noether's problem; rationality problem; retract rational; multiplicative group actions Noether's problem; rationality problem; retract rational; multiplicative group actions S.-J. Hu and M. Kang, Noether's problem for some \(p\)-groups, in: ''Cohomological and geometric approaches to rationality problems'', Progr. Math., vol. \textbf{282}, Birkhäuser, Boston, MA, 2010, pp. 149-162. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. geometric invariant theory; Diophantine approximation; Roth's theorem; Berkovich spaces; height of semi-stable points | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. logarithmic height function; Fermat Last Theorem; finiteness conjectures in Diophantine geometry; degenerate set of integral points; analogy between the theory of Diophantine approximation in number theory and value distribution theory; Nevanlinna theory; local height function; abc- conjecture; size of integral points on elliptic curves P. Vojta, Diophantine Approximations and Value Distribution Theory, Lecture Notes in Math. 1239, Springer, Berlin, 1987. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. moduli spaces; abelian varieties; rational points; birational geometry; Lang's conjecture D. Abramovich, A. Várilly-Alvarado, Level Structures on Abelian Varieties, Kodaira Dimensions, and Lang's Conjecture (2016) Preprint. arXiv:1601.02483 | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Kuga variety; intermediate Jacobian; cusp forms; generalized Hodge conjecture; Abel-Jacobi map; algebraic cycles; elliptic curve; rational Hodge structure; Tate's conjecture 10.2307/2154385 | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Algebraic cycles; Bloch's conjecture; Singular surfaces Krishna, A., \textit{zero cycles on singular surfaces}, J. K-Theory, 4, 101-143, (2009) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. transcendence type; periods; quasi-periods; Weierstrass elliptic function; effective criteria; measures of algebraic independence; elimination method; degree; height E.M. Jabbouri : Sur un critère pour l'indépendance algébrique de P. Philippon , in: P. Philippon (ed.) Approximations Diophantiennes et Nombres Transcendants . W. de Gruyter, Berlin (1992) pp. 195-202. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Chow variety; secant variety; Valiant's conjecture; prolongation; \(\mathrm{GL}(V)\)-module; plethysm coefficients | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. vector bundles; low-codimensional submanifolds; threefolds; Hartshorne's conjecture; moduli; Chern classes M. Schneider, Vector bundles and low-codimensional submanifolds of projective space: a problem list , Topics in algebra, Part 2 (Warsaw, 1988), Banach Center Publ., vol. 26, PWN, Warsaw, 1990, problème 2, pp. 209-222. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. variation; moduli stack, canonically polarized manifold; Shafarevich's conjecture; Viehweg's conjecture Kebekus, S; Kovács, SJ, The structure of surfaces and threefolds mapping to the moduli stack of canonically polarized varieties, Duke Math. J., 155, 1-33, (2010) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. conic bundles; rational points; surfaces; Manin's conjecture | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. homogeneous coordinate ring; vanishing theorems; Fujita's Conjecture Tohôku Math. J. 54 pp 451-- (2002) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Parshin's conjecture; algebraic \(K\)-theory; motivic cohomology | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. transcendency; abelian variety of CM type; periods; values of the Siegel modular function at algebraic points; modular functions; Schneider's theorem; elliptic modular function Shiga, H.: On the transcendency of the values of the modular function at algebraic points. Soc. math. France astérisque 209, 293-305 (1992) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Lang's conjecture; Abelian subvarieties; effective upper bound; rational points on curves Gaël, Rémond., Décompte dans une conjecture de Lang, Invent. Math.,, 142, 513-545, (2000) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. elliptic curves; Szpiro's conjecture; minimal discriminant; isogeny | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Wahl's conjecture; Frobenius splitting; canonical splitting; maximal multiplicity; diagonal splitting; Grassmannians V. Lakshmibai, K. N. Raghavan, P. Sankaran, Wahl's conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians, Cent. Eur. J. Math. 7 (2009), no. 2, 21423. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. algebraic cycles; Chow groups; motives; Beauville's splitting property; multiplicative Chow-Künneth decomposition; Fano varieties of \(K3\) type | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. normalized height; diophantine geometry; multiplicative group Francesco Amoroso and Sinnou David, Minoration de la hauteur normalisée dans un tore, J. Inst. Math. Jussieu 2 (2003), no. 3, 335 -- 381 (French, with English and French summaries). | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Langlands' conjecture for GL(2) over global field; \(\ell \)-adic representations of the Weil group; cusp forms Drinfeld\´, V. G.; : Cohomology of compactified moduli varieties of F-sheaves of rank 2, Zap. nauchn. Sem. leningrad. Otdel. mat. Inst. Steklov (LOMI) 162, 107-158 (1987) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. solving algebraic equations by using theta functions; Siegel modular functions; Thomae's formula; theta constants Umemura, H.: Resolution of algebraic equations by theta constants. In: Mumford, D.(ed.) in Tata Lectures on Theta II, Birkhauser, Boston (1984) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Burnside's conjecture; rational transformation | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Lang's conjecture; torsion points; curves; group varieties Granville, A; Rudnick, Z, Torsion points on curves, NATO Sci. Ser. II Math. Phys. Chem., 237, 85-92, (2007) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. function fields; ramification; Abhyankar's Lemma Anbar, N.; Stichtenoth, H.; Tutdere, S., On ramification in the compositum of function fields, Bull. Braz. Math. Soc. (N.S.), 40, 4, 539-552, (2009) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. geometric and relative Bogomolov conjecture; height inequality; o-minimality; functional constancy; point counting | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. surface singularity; Durfee's conjecture; weighted homogeneous polynomials; Milnor number; multiplicity; genus; signature Némethi, A.: Dedekind sums and the signature of \(f(x,y)+z^N\). II. Selecta. Math. (N.S.) \textbf{5}, 161-179 (1999) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. abelian variety of Weil type; Hodge conjecture; abelian 4-folds C. Schoen, Addendum to [72]. Compositio Math. 114 (1998), no. 3, 329-336 (1998) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Faltings height; abelian variety with complex multiplication; CM point; Shimura curve; Hodge bundle; Colmez conjecture; André-Oort conjecture; logarithmic derivative; Artin \(L\)-function | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. algebraic fundamental group; hyperbolic affine curves; anabelian geometry; Grothendieck's anabelian conjecture T. Szamuely, Le théorème de Tamagawa I. In Courbes semi-stables et groupe fondamental en géométrie algébrique (Luminy, 1998), 185-201, Progr. Math. 187, Birkhäuser, Basel, 2000. Zbl0978.14014 MR1768101 | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Abel's lemma on summation by parts; modified Jacobi theta function; elliptic (theta) hypergeometric series; Bailey's very-well-poised \({_{10}\phi_9}\)-series transformation | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. elliptic curve; canonical height; Szpiro conjecture; Lang conjecture | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Manin's conjecture; minimal model program; rational points; Néron-Severi group | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Mordell-Weil lattices; elliptic surfaces; height pairing; minimal height of a non-torsion point T. SHIODA, Existence of a rational elliptic surface with a given Mordell-Weil lattice, Proc. Japan Acad Ser. A, Math. Sci. 68 (1992), 251-255. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Igusa's local zeta function; prehomogeneous vector space; Igusa's conjecture | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. algebraic curves; Hasse-Weil's bound; character sums; Fermat curves; finite fields | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. real-pseudoconvex domains; analogs of Poincaré's Lemma | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Zilber-Pink conjecture; bounded height conjecture P. Habegger, \textit{On the bounded height conjecture}, Int. Math. Res. Notices \textbf{2009} (2009), 860-886. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Kato conjecture; Hasse principle; Kato homology; niveau filtration; log pairs; Gabber's refined uniformization S. Saito, Recent progress on the Kato conjecture, in Quadratic Forms, Linear Algebraic Groups, and Cohomology, Developments in Math., vol. 18, pp. 109--124, 2010. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Mahler measure; canonical height; equidistribution; preperiodic point J. Pineiro, L. Szpiro, and T. J. Tucker, ''Mahler measure for dynamical systems on \({\mathbb P}^1\) and intersection theory on a singular arithmetic surface,'' in Geometric Methods in Algebra and Number Theory, Boston, MA: Birkhäuser, 2005, vol. 235, pp. 219-250. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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; algebraic points; height zeta functions | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. intersection multiplicity; Serre's Positivity Conjecture | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Mordell-Weil conjecture; Shioda (Tetsuji); Kummer surfaces; Fermat varieties | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Ruan's conjecture; Chen--Ruan cohomology; quantum cohomology; toric geometry; Gromov--Witten invariants Boissière, S.; Mann, É.; Perroni, F., The cohomological crepant resolution conjecture for \(\mathbb{P}(1, 3, 4, 4)\), Internat. J. Math., 20, 6, 791-801, (2009) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Weil restriction; Fitting ideals; Hasse-Schmidt derivations; jets; localization conjecture Skjelnes, Roy Mikael: Weil restrictions and the quot scheme | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. secant variety; Segre-Veronese embedding; degeneration; double point; Terracini's lemma; non-defective variety Laface, Antonio; Postinghel, Elisa, Secant varieties of Segre-Veronese embeddings of \((\mathbb{P}^1)^r\), Math. Ann., 356, 4, 1455-1470, (2013) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. plane curves with given multiplicity of points; Nagata's conjecture Harbourne B.: On Nagata's conjecture. J. Algebra 236, 692--702 (2001) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Shimura variety; Hilbert modular surfaces; Eisenstein symbol; motivic cohomology; relative motive; \(L\)-function; Beilinson's regulator; Beilinson's conjecture | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. topological version of Weil's theorem; birational group law; group chunk; homogeneous group; quasi-algebraic group chunks; differentially algebraic group chunks; model theory; first-order definable L. P. D. van den Dries, Weil's group chunk theorem: a topological setting, Illinois J. Math. 34 (1990), no. 1, 127 -- 139. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. \(K3\); \(\ell\)-adic cohomology classes; action of Frobenius on the Tate module; abelian variety; Tate's conjecture Zarhin, Y. G., Abelian varieties of \textit{K}3 type, (Séminaire de Théorie des Nombres, Paris, 1990-1991, Progr. Math., vol. 108, (1993), Birkhäuser Boston Boston), 263-279 | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. normalized height; higher dimensional subvarieties; conjecture of Bogomolov; density of points of small height; abelian varieties; lower bound; complex multiplication David, Sinnou; Philippon, Patrice, Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes.Number theory, Tiruchirapalli, 1996, Contemp. Math. 210, 333-364, (1998), Amer. Math. Soc., Providence, RI | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Hilbert's 16th problem; oval arrangements of real plane non-singular algebraic curves; Ragsdale's conjecture; Viro conjecture Ilia Itenberg, Contre-examples à la conjecture de Ragsdale, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 3, 277 -- 282 (French, with English and French summaries). | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. elliptic surfaces; Mordell-Weil rank; Igusa's inequality; \(p\)-descent | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Carlitz module; Artin's conjecture; function fields | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. normal presentation of line bundles; elliptic ruled surface; Mukai's conjecture; adjoint linear series; homogeneous coordinate ring F. J. Gallego andB. P. Purnaprajna, Normal presentation on elliptic ruled surfaces.J. Algebra 186 (1996), 597--625. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. arithmetic fundamental group; Abhyankar's conjecture; inverse Galois problem; Frattini extension; characteristic \(p\) David Harbater and Marius van der Put, Valued fields and covers in characteristic \?, Valuation theory and its applications, Vol. I (Saskatoon, SK, 1999) Fields Inst. Commun., vol. 32, Amer. Math. Soc., Providence, RI, 2002, pp. 175 -- 204. With an appendix by Robert Guralnick. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. elliptic curves; embedding degree; distortion map; Bateman-Horn's conjecture Miret, J; Sadornil, D; Tena, J, Computing elliptic curves with \(j=0, 1728\) and low embedding degree, Int. J. Comput. Math., 93, 2042-2053, (2016) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. points of small height; Bogomolov conjecture; Arakelov theory; modular curves P. Michel and E. Ullmo, ''Points de petite hauteur sur les courbes modulaires \(X_0(N)\),'' Invent. Math., vol. 131, iss. 3, pp. 645-674, 1998. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. modular curve; abelian varieties with twist; \(X_ 0\); simple factors of the Jacobian variety; correspondence between cusp forms of weight 2 and elliptic curves; Taniyama-Weil conjecture J.E. Cremona, Abelian varieties with extra twist, cusp forms, and elliptic curves over imaginary quadratic fields, J. London Math. Soc. (2), 45 (1992), 404-416. MR 93h:11056 | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. automorphic form; Drinfeld's shtuka; global function field; Langlands conjecture; moduli stack of shtukas Laumon, G., La correspondance de Langlands sur LES corps de fonctions (d'après Laurent lafforgue), No. 276, 207-265, (2002) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. modularity; Serre's conjecture; Hilbert modular forms; quaternionic modular forms Toby Gee, ''On the weights of mod \(p\) Hilbert modular forms'', Invent. Math.184 (2011) no. 1, p. 1-46 | | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. height pairing of special cycles; Shimura variety; special values of derivatives of Fourier coefficients; Siegel Eisenstein series; canonical model; Hilbert-Blumenthal surface Kudla, S. S.; Rapoport, M., \textit{arithmetic Hirzebruch-Zagier cycles}, J. reine angew. Math., 515, 155-244, (1999) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. height theory; families of abelian varieties; relative Bogomolov conjecture; uniform Mordell-Lang | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. cohomology of hyperbolic three-manifolds; automorphic representations; holomorphic Siegel modular forms; \(l\)-adic representations; elliptic curves over imaginary quadratic fields; Tate module; Ramanujan conjecture; \(L\)-function Taylor, Richard, \textit{l}-adic representations associated to modular forms over imaginary quadratic fields. II, Invent. Math., 116, 1-3, 619-643, (1994) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Zariski's multiplicity conjecture; analytic sets; multiplicity | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Laumon quasiflag spaces; generating function; Braverman's conjecture; eigenfunction of the Calogero-Sutherland Hamiltonian A. Negut, \textit{Affine Laumon Spaces and the Calogero-Moser Integrable System}, arXiv:1112.1756 [INSPIRE]. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Waring decomposition; Kruskal's criterion; Cayley-Bacharach property; Castelnuovo's lemma; identifiability of symmetric tensors | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Abelian varieties; Neron-Tate height; Arakelov theory; Bogomolov conjecture | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Birch--Swinnerton-Dyer conjecture; p-adic height pairings | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. meshing; implicit algebraic surfaces; isotopy; Thom's Lemma; Whitney stratification; singularity Alberti, L.; Mourrain, B.; Técourt, J. -P.: Isotopic triangulation of a real algebraic surface, J. symb. Comput. 44, No. 9, 1291-1310 (2009) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Vojta's conjecture; Batyrev-Manin Conjecture; \(K3\) surface D. McKinnon, Vojta's conjecture implies the Batyrev-Manin conjecture for K3 surfaces, Bull. Lond. Math. Soc. 43 (2011), no. 6, 1111-1118. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. projective; system; symmetrization; supertropical algebra; module; Schanuel's lemma | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Manin's conjecture; imaginary quadratic field; singular cubic surface; Gauss circle problem U. Derenthal and C. Frei, \textit{On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields}, International Mathematics Research Notices, to appear, arXiv:1311.2809. | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. Seshadri constants; Nagata conjecture; Duminicki's criterion Eckl, Thomas: An asymptotic version of dumnicki's algorithm for linear systems in CP2, Geom. dedicata 137, 149-162 (2008) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. real algebraic \(T\)-surfaces; Viro's conjecture; first homology group Itenberg, I.: Topology of real algebraic \(T\)-surfaces. Rev. Mat. Univ. Complut. Madrid \textbf{10}(Special Issue, suppl.), 131-152 (1997). Real Algebraic and Analytic Geometry (Segovia, 1995) | 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result 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. mixed Hodge modules of geometric origin; cycle map; Hodge conjectures; higher Chow groups; Bloch's conjecture | 0 |
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