id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
solv-int/9305001 | The Super W_3 Conformal Algebra and the Boussinesq Hierarchy | The bihamiltonian structure of the N=2 Supersymmetric Boussinesq equation is
found. It is not reduced to the corresponding classical structure and hence it
describes the pure supersymmetric effect. For the supersymmetric Boussinesq
equation which contains the classical partner the Lax pair is given
explicitely. Thus we... | 1993-05-13 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | Ziemowit Popowicz (Research Institute for Theoretical Physics,
Siltavuorenpenger 20C, Fin-00014 University of Helsinki Finland) |
solv-int/9304003 | Integrable four-dimensional symplectic maps of standard type | We search for rational, four-dimensional maps of standard type (x_{n+1} -
2x_n + x_{n-1} = eps f(x,eps)) possessing one or two polynomial integrals.
There are no non-trivial maps corresponding to cubic oscillators, but we find a
four-parameter family of such maps corresponding to quartic oscillators. This
seems to be t... | 1993-04-28 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | Robert I. McLachlan (Program in Applied Mathematics, University of
Colorado at Boulder) |
solv-int/9304002 | Casorati Determinant Solution for the Relativistic Toda Lattice Equation | The relativistic Toda lattice equation is decomposed into three Toda systems,
the Toda lattice itself, B\"acklund transformation of Toda lattice and discrete
time Toda lattice. It is shown that the solutions of the equation are given in
terms of the Casorati determinant. By using the Casoratian technique, the
bilinear ... | 1993-04-22 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | Yasuhiro Ohta (Research Institute for Mathematical Sciences, Kyoto
University, Kyoto 606, Japan) Kenji Kajiwara (Department of Applied Physics,
Faculty of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyu-ku, Tokyo
113, Japan) Junkichi Satsuma (Department of Mathematical Sciences, University
of Tokyo, 3-8-1... |
solv-int/9404003 | Problem of Metrizability for the Dynamical Systems Accepting the Normal
Shift | The problem of metrizability for the dynamical systems accepting the normal
shift is formulated and solved. The explicit formula for the force field of
metrizable Newtonian dynamical system $\ddot\bold r=\bold F(\bold r,\dot\bold
r)$ is found. | 1993-04-18 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | R. A. Sharipov (home address: Rabochaya str. 5, Ufa 450003, Russia) |
solv-int/9304001 | q-Discrete Toda Molecule Equation | A q-discrete version of the two-dimensional Toda molecule equation is
proposed through the direct method. Its solution, B\"acklund transformation and
Lax pair are discussed. The reduction to the q-discrete cylindrical Toda
molecule equation is also discussed. | 1993-04-16 | 2009-10-22 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Kenji Kajiwara (Department of Applied Physics, Faculty of Engineering,
University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan) Yasuhiro Ohta
(Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606,
Japan) Junkichi Satsuma (Department of Mathematical Sciences, University of
Tokyo, 3-8-1... |
solv-int/9404002 | Dynamical Systems Accepting the Normal Shift | Newtonian dynamical systems accepting the normal shift on an arbitrary
Riemannian manifold are considered. Partial differential equations forming the
weak and additional normality conditions for them are reported. | 1993-04-07 | 2008-02-03 | [
"solv-int",
"alg-geom",
"astro-ph",
"gr-qc",
"hep-th",
"math.AG",
"nlin.SI"
] | R. A. Sharipov (Department of Mathematics, Bashkir State University,
Ufa, Russia) |
acc-phys/9411004 | High-Brightness Photocathode Electron Sources | Most present and future electron accelerators require bright sources.
Invented less than ten years ago, the photo-injector the principle of which is
briefly recalled, has already demonstrated that it can provide very bright
beams. In this paper, the most advanced photo-injector projects are reviewed,
their specific fea... | 1994-11-23 | 2008-11-26 | [
"acc-phys",
"physics.acc-ph"
] | C. Travier |
acc-phys/9411003 | Candela Photo-Injector Experimental Results | The CANDELA photo-injector is a two cell S-band photo-injector. The copper
cathode is illuminated by a 500 fs Ti:sapphire laser. This paper presents
energy spectrum measurements of the dark current and intense electron emission
that occurs when the laser power density is very high. | 1994-11-22 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | C. Travier, L. Boy, J.N. Cayla, B. Leblond, P. Georges, P. Thomas |
acc-phys/9411002 | Order $\hbar$ Corrections to the Classical Dynamics of a Particle with
Intrinsic Spin Moving in a Constant Magnetic Field | $O(\hbar)$ effects that modify the classical orbit of a charged particle are
described for the case of a classical spin-1/2 particle moving in a constant
magnetic field, using a manifestly covariant formalism reported previously. It
is found that the coupling between the momentum and spin gives rise to a shift
in the c... | 1994-11-19 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | Patrick L. Nash (University of Texas at San Antonio) |
acc-phys/9411001 | Symplectic Computation of Lyapunov Exponents | A recently developed method for the calculation of Lyapunov exponents of
dynamical systems is described. The method is applicable whenever the
linearized dynamics is Hamiltonian. By utilizing the exponential representation
of symplectic matrices, this approach avoids the renormalization and
reorthogonalization procedur... | 1994-11-01 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | Salman Habib and Robert D. Ryne |
adap-org/9412001 | Preferential Partner Selection in an Evolutionary Study of Prisoner's
Dilemma | Partner selection is an important process in many social interactions,
permitting individuals to decrease the risks associated with cooperation. In
large populations, defectors may escape punishment by roving from partner to
partner, but defectors in smaller populations risk social isolation. We
investigate these possi... | 1994-12-27 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | Dan Ashlock (Dept. of Mathematics, Iowa State Univ.), Mark D. Smucker
(Dept. of Computer Sciences, Univ. of Wisc.-Madison), E. Ann Stanley (Dept.
of Mathematics, Iowa State Univ.), Leigh Tesfatsion (Dept. of Economics and
Dept. of Mathematics, Iowa State Univ.) |
adap-org/9411003 | An Evolutionary Approach to Associative Memory in Recurrent Neural
Networks | In this paper, we investigate the associative memory in recurrent neural
networks, based on the model of evolving neural networks proposed by Nolfi,
Miglino and Parisi. Experimentally developed network has highly asymmetric
synaptic weights and dilute connections, quite different from those of the
Hopfield model. Some ... | 1994-11-30 | 2008-02-03 | [
"adap-org",
"nlin.AO",
"q-bio"
] | Sh. Fujita (Kobe University) and H. Nishimura (Hyogo University of
Education) |
adap-org/9411002 | Mapping Self-Organized Criticality onto Criticality | We present a general conceptual framework for self-organized criticality
(SOC), based on the recognition that it is nothing but the expression,
''unfolded'' in a suitable parameter space, of an underlying {\em unstable}
dynamical critical point. More precisely, SOC is shown to result from the
tuning of the {\em order p... | 1994-11-28 | 2009-10-22 | [
"adap-org",
"nlin.AO"
] | Didier Sornette, Anders Johansen and Ivan Dornic (Laboratoire de
Physique de la Mati\`ere Condens\'ee, CNRS URA190 Universit\'e des Sciences,
B.P. 70, Parc Valrose, 06108 Nice, France) |
adap-org/9411001 | The covariance matrix of the potts model: A random cluster analysis | We consider the covariance matrix $G^{mn}(x-y)$ of the d-dimensional q-states
Potts model, rewriting it in terms of the connectivity, the finite-cluster
connectivity and the infinite-cluster covariance in the random cluster repre-
sentation of Fortuin and Kasteleyn. In any of the $q$ ordered phases, we show
that the ma... | 1994-11-14 | 2008-02-03 | [
"adap-org",
"cond-mat",
"hep-lat",
"nlin.AO"
] | C. Borgs (Freie Universitaet Berlin and IAS) and J.T. Chayes (UCLA and
IAS) |
adap-org/9410006 | Communities of Practice: Performance and Evolution | We present a detailed model of collaboration in communities of practice and
we examine its dynamical consequences for the group as a whole. We establish
the existence of a novel mechanism that allows the community to naturally adapt
to growth, specialization, or changes in the environment without the need for
central c... | 1994-10-26 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | Bernardo A. Huberman, and Tad Hogg (Dynamics of Computation, Xerox
Palo Alto Research Center, Palo Alto, CA. 94304) |
adap-org/9410005 | Kinetic Theory of Anomalous Transport of SupraThermal Particles | The plasma turbulence as is well known plays crucial role in the processes of
plasma dynamics and transport phenomena. It affects both macroscopic plasma
behaviour and distribution of particles, and besides suprathermal component of
particle ensemble is even more sensitive to turbulent processes. We have
performed inve... | 1994-10-25 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | A.Gurevich, A.Lukyanov, K.Zybin (Theoretical Department of P.N.Lebedev
Physical Ins. Moscow.117924, Leninskii 53. Russia) |
adap-org/9410004 | Mass-extinction: Evolution and the effects of external influences on
unfit species | We present a new model for extinction in which species evolve in bursts or
`avalanches', during which they become on average more susceptible to
environmental stresses such as harsh climates and so are more easily rendered
extinct. Results of simulations and analytic calculations using our model show
a power-law distri... | 1994-10-20 | 2008-02-03 | [
"adap-org",
"nlin.AO",
"q-bio"
] | M. E. J. Newman (Cornell Theory Center, Cornell University) B. W.
Roberts (LASSP, Cornell University) |
adap-org/9410003 | Random Walks on a Fluctuating Lattice: A Renormalization Group Approach
Applied in One Dimension | We study the problem of a random walk on a lattice in which bonds connecting
nearest neighbor sites open and close randomly in time, a situation often
encountered in fluctuating media. We present a simple renormalization group
technique to solve for the effective diffusive behavior at long times. For
one-dimensional la... | 1994-10-17 | 2009-10-22 | [
"adap-org",
"nlin.AO"
] | C.D. Levermore (Mathematics Department, U. Arizona, Tucson, AZ 85721),
W. Nadler (Inst. f. Theor. Chem., U. Tuebingen, D-72076 Tuebingen, FRG), and
D.L. Stein (Physics Department, U. Arizona, Tucson, AZ 85721) |
adap-org/9410002 | On The Avalanche-finiteness Of Abelian Sandpiles | We prove a necessary and sufficient condition for an Abelian Sandpile Model
(ASM) to be avalanche-finite, namely: all unstable states of the system can be
brought back to stability in finite number of topplings. The method is also
computationally feasible since it involves no greater than $\mbox{O} \left( N^3
\right)$ ... | 1994-10-17 | 2015-06-24 | [
"adap-org",
"cond-mat",
"nlin.AO"
] | S. W. Chan (Dept. of Math.,Ohio State Univ.) and H. F. Chau (School of
Natural Sci.,Inst. for Advanced Study) |
adap-org/9410001 | Belavkin-Kolokoltsov Watch-Dog Effects in Interactively Controlled
Stochastic Computer-Graphic Dynamical Systems. A Summary of Mathematical
Researches | This paper contains a summary of mathematical researches of stochastic
properties of the long time behavior of a continuously observed (and
interactively controlled) quantum--field top. Applications to interactively
controlled stochastic computer-graphic dynamical systems are also discussed. | 1994-10-10 | 2008-02-03 | [
"adap-org",
"dg-ga",
"math.DG",
"nlin.AO",
"nlin.SI",
"solv-int"
] | Denis V.Juriev (D.V.Yur'ev) |
adap-org/9409004 | A New Look at Broken Ergodicity | We study the nature and mechanisms of broken ergodicity (BE) in specific
random walk models corresponding to diffusion on random potential surfaces, in
both one and high dimension. Using both rigorous results and nonrigorous
methods, we confirm several aspects of the standard BE picture and show that
others apply in on... | 1994-09-28 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | D.L. Stein (Dept. of Physics, U. of Arizona, Tucson, AZ) and C.M.
Newman (Courant Institute, NYU, New York, NY) |
adap-org/9409003 | Towards A Description Of Interactive Psychoinformation Systems.
Preliminary Remarks. (K Opisaniyu Interaktivnyh Psihoinformatsionnyh Sistem.
Predvaritel'Nye Zamechaniya) | An approach to description of interactive psychoinformation systems, based on
the concept of "virtualization" and essentially using the technique of the
"secondary image synthesis" (adap-org/9409002), is sketched. The article has a
rather discussional character and maybe considered as a comment to some
statements of th... | 1994-09-14 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | Denis Juriev (Mathematical Division, Research Institute for System
Studies, Russian Academy of Sciences, Moscow) |
adap-org/9409002 | Secondary Image Synthesis In Electronic Computer Photography (Vtorichnyj
Sintez Izobrazhenij V Elektronnoj Komp'Yuternoj Fotografii) | The principal scheme of the secondary image synthesis in electronic computer
photography is described. The crucial role of the Clebsch-Gordan coefficient
calculus is pointed out. | 1994-09-08 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | Denis Juriev (Mathematical Division, Research Institute for System
Studies, Russian Academy of Sciences, Moscow) |
adap-org/9409001 | Bubbles and Market Crashes | We present a dynamical theory of asset price bubbles that exhibits the
appearance of bubbles and their subsequent crashes. We show that when
speculative trends dominate over fundamental beliefs, bubbles form, leading to
the growth of asset prices away from their fundamental value. This growth makes
the system increasin... | 1994-09-02 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | Michael Youssefmir, Bernardo Huberman, and Tad Hogg (Dynamics of
Computation Group, Xerox Palo Alto Research Center, 3333 Coyote Hill Rd.,
Palo Alto, CA 94304) |
adap-org/9408001 | A Network of Oscillators for Retrieving Phase Information | We propose a network of oscillators to retrieve given patterns in which the
oscillators keep a fixed phase relationship with one another. In this
description, the phase and the amplitude of the oscillators can be regarded as
the timing and the strength of the neuronal spikes, respectively. Using the
amplitudes for enco... | 1994-08-22 | 2009-10-22 | [
"adap-org",
"nlin.AO"
] | Toshio Aoyagi (Department of Applied Mathematics and Physics, Kyoto
University, Japan) |
adap-org/9407003 | Asymptotic Exit Location Distributions in the Stochastic Exit Problem | Consider a two-dimensional continuous-time dynamical system, with an
attracting fixed point $S$. If the deterministic dynamics are perturbed by
white noise (random perturbations) of strength $\epsilon$, the system state
will eventually leave the domain of attraction $\Omega$ of $S$. We analyse the
case when, as $\epsil... | 1994-07-28 | 2008-02-03 | [
"adap-org",
"chao-dyn",
"nlin.AO",
"nlin.CD"
] | Robert S. Maier (Mathematics Dept., U. Arizona) and Daniel L. Stein
(Physics Dept., U. Arizona) |
adap-org/9407002 | Dynamics of a stochastically driven running sandpile | We analyze in detail a one-dimensional stochastically driven running
sandpile. The dynamics shows three different phases, depending on the on-site
relaxation rate and stochastic driving rate. Two phases are characterized by
the presence of travelling waves. The third shows algebraic relaxation. | 1994-07-11 | 2009-10-22 | [
"adap-org",
"nlin.AO"
] | T. Becker, H. de Vries, B. Eckhardt (Institut fuer Chemie und Biologie
des Meeres and Fachbereich Physik der C.v. Ossietzky Universitaet, Oldenburg,
Germany) |
adap-org/9407001 | Constructive Complexity and Artificial Reality: An Introduction | Basic problems of complex systems are outlined with an emphasis on
irreducibility and dynamic many-to-many correspondences. We discuss the
importance of a constructive approach to artificial reality and the
significance of an internal observer. | 1994-07-07 | 2009-10-22 | [
"adap-org",
"nlin.AO"
] | Kunihiko Kaneko (University of Tokyo) Ichiro Tsuda (Hokkaido
University) |
adap-org/9406001 | Study of a New Neuron | We study a modular neuron alternative to the McCulloch-Pitts neuron that
arises naturally in analog devices in which the neuron inputs are represented
as coherent oscillatory wave signals. Although the modular neuron can compute
$XOR$ at the one neuron level, it is still characterized by the same
Vapnik-Chervonenkis di... | 1994-06-20 | 2008-02-03 | [
"adap-org",
"nlin.AO",
"q-bio"
] | S.L. Adler, G.V. Bhanot, J.D. Weckel |
adap-org/9405004 | Nonlinear Dynamics in Distributed Systems | We build on a previous statistical model for distributed systems and
formulate it in a way that the deterministic and stochastic processes within
the system are clearly separable. We show how internal fluctuations can be
analysed in a systematic way using Van Kanpen's expansion method for Markov
processes. We present s... | 1994-05-17 | 2009-10-22 | [
"adap-org",
"nlin.AO"
] | Iqbal Adjali, Jos\'e-Luis Fern\'andez-Villaca\~nas and Michael Gell
(Systems Research Division, BT Laboratories, Martlesham Heath, Ipswich,
United Kingdom) |
adap-org/9405003 | Evolutionary Learning in the 2D Artificial Life System "Avida" | We present a new tierra-inspired artificial life system with local
interactions and two-dimensional geometry, based on an update mechanism akin to
that of 2D cellular automata. We find that the spatial geometry is conducive to
the development of diversity and thus improves adaptive capabilities. We also
demonstrate the... | 1994-05-16 | 2008-02-03 | [
"adap-org",
"nlin.AO",
"q-bio"
] | Chris Adami and C. Titus Brown (Kellogg Radiation Laboratory, Caltech) |
adap-org/9405002 | On Modelling Life | We present a theoretical as well as experimental investigation of a
population of self-replicating segments of code subject to random mutation and
survival of the fittest. Under the assumption that such a system constitutes a
minimal system with characteristics of life, we obtain a number of statements
on the evolution... | 1994-05-16 | 2008-02-03 | [
"adap-org",
"nlin.AO",
"q-bio"
] | Chris Adami (Kellogg Radiation Laboratory, Caltech) |
adap-org/9405001 | Beliefs and Cooperation | Individuals in groups must often choose between acting selfishly and
cooperating for the common good. The choices they make are based on their
beliefs on how they expect their actions to affect others. We show that for a
broad set of beliefs and group characteristics cooperation can appear
spontaneously in non-cooperat... | 1994-05-10 | 2009-09-25 | [
"adap-org",
"nlin.AO"
] | Bernardo A. Huberman and Natalie S. Glance (Xerox Palo Alto Research
Center, Palo Alto, CA) |
adap-org/9404001 | Cellular Games | A cellular game is a dynamical system in which cells, placed in some discrete
structure, are regarded as playing a game with their immediate neighbors.
Individual strategies may be either deterministic or stochastic. Strategy
success is measured according to some universal and unchanging criterion.
Successful strategie... | 1994-04-07 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | Lenore Levine |
adap-org/9402002 | Like Sparrows on a Clothes Line: The Self-Organization of Random Number
Sequences | We study sequences of random numbers {Z[1],Z[2],Z[3],...,Z[n]} -- which can
be considered random walks with reflecting barriers -- and define their "types"
according to whether Z[i] > Z[i+1], (a down-movement), or Z[i] < Z[i+1]
(up-movement). This paper examines the means, xi, to which the Zi converge,
when a large num... | 1994-02-14 | 2008-02-03 | [
"adap-org",
"nlin.AO"
] | George G. Szpiro |
adap-org/9402001 | Training and Turnover in Organizations | We present a two-level model of organizational training and agent production.
Managers decide whether or not to train based on both the costs of training
compared to the benefits and on their expectations and observations of the
number of other firms that also train. Managers also take into account the sum
of their emp... | 1994-02-08 | 2008-02-03 | [
"adap-org",
"chao-dyn",
"nlin.AO",
"nlin.CD"
] | Natalie S. Glance, Tad Hogg and Bernardo A. Huberman (Xerox Palo Alto
Research Centre, Palo Alto, CA) |
adap-org/9401002 | Learning and Complexity in Genetic Auto-Adaptive Systems | We describe and investigate the learning capablities displayed by a
population of self-replicating segments of computer-code subject to random
mutation: the tierra environment. We find that learning is achieved through
phase transitions that adapt the population to whichever environment it
encounters, with a learning r... | 1994-01-27 | 2015-06-24 | [
"adap-org",
"nlin.AO",
"q-bio"
] | Chris Adami (Kellogg Radiation Laboratory, Caltech) |
adap-org/9401001 | Self-organized Criticality in Living Systems | We suggest that ensembles of self-replicating entities such as biological
systems naturally evolve into a self-organized critical state in which
fluctuations, as well as waiting-times between phase transitions are
distributed according to a 1/f power law. We demonstrate these concepts by
analyzing a population of self-... | 1994-01-27 | 2009-10-22 | [
"adap-org",
"nlin.AO",
"q-bio"
] | C. Adami (Kellogg Radiation Laboratory, Caltech) |
alg-geom/9412022 | Grothendieck duality via homotopy theory | Grothendieck proved that if $f:X\longrightarrow Y$ is a proper morphism of
nice schemes, then $Rf_*$ has a right adjoint, which is given as tensor product
with the relative canonical bundle. The original proof was by patching local
data. Deligne proved the existence of the adjoint by a global argument, and
Verdier show... | 1994-12-27 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Amnon Neeman |
alg-geom/9412021 | Remarks on S. Lang's conjecture over function fields | In this short note, we will show the following weak evidence of S. Lang
conjecture over function fields. Let f : X ---> Y be a projective and
surjective morphism of algebraic varieties over an algebraically closed field k
of characteristic zero, whose generic fiber is geometrically irreducible and of
general type. If f... | 1994-12-24 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Atsushi Moriwaki |
alg-geom/9412020 | An elementary approach to the abelianization of the Hitchin system for
arbitrary reductive groups | We consider the moduli space of stable principal G-bundles over a compact
Riemann surface C of genus >1, with G a reductive algebraic group. We
explicitly construct a map F from the generic fibre of the Hitchin map to a
generalized Prym variety associated to a suitable Galois covering of C. The map
F has finite fibres.... | 1994-12-23 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | R.Scognamillo |
alg-geom/9412019 | Mixed Buchsbaum--Rim Multiplicities | We prove the results about mixed Buchsbaum--Rim multiplicities announced in
(9.10)(ii) on p.224 of our recent paper [J.Alg.(1994)], including a general
mixed-multiplicity formula. In addition, we identify these multiplicities as
the coefficients of the ``leading form'' of the appropriate Buchsbaum-Rim
polynomial in thr... | 1994-12-20 | 2008-02-03 | [
"alg-geom",
"math.AC",
"math.AG"
] | Steven Kleiman and Anders Thorup |
alg-geom/9412018 | Moduli of Polarised Abelian Surfaces | The toroidal compactification of the moduli space of complex abelian surfaces
with a polarisation of type (1,p), p a prime, is of general type if p is at
least 173. Happy Christmas. | 1994-12-19 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | G.K. Sankaran |
alg-geom/9412017 | On Calabi-Yau Complete Intersections in Toric Varieties | We investigate Hodge-theoretic properties of Calabi-Yau complete
intersections $V$ of $r$ semi-ample divisors in $d$-dimensional toric Fano
varieties having at most Gorenstein singularities. Our main purpose is to show
that the combinatorial duality proposed by second author agrees with the
duality for Hodge numbers pr... | 1994-12-18 | 2008-02-03 | [
"alg-geom",
"hep-th",
"math.AG"
] | Victor V. Batyrev and Lev A. Borisov |
alg-geom/9412015 | On $CR$ mappings between algebraic Cauchy--Riemann manifolds and
separate algebraicity for holomorphic functions | We prove the algebraicity of smooth $CR$-mappings between algebraic
Cauchy--Riemann manifolds. A generalization of separate algebraicity principle
is established. | 1994-12-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | R.A. Sharipov and A.B. Sukhov (Department of Mathematics, Bashkir
State University, Ufa, Russia) |
alg-geom/9412016 | On the Hilbert Function of Fat Points on a Rational Normal Cubic | In this paper we find an algorithm which computes the Hilbert function of
schemes $Z$ of "fat points" in $\PP3$ whose support lies on a rational normal
cubic curve $C$. The algorithm shows that the maximality of the Hilbert
function in degree $t$ is related to the existence of fixed curves (either $C$
itself or one of ... | 1994-12-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | M.V.Catalisano and A.Gimigliano |
alg-geom/9412014 | Hilbert schemes of points on some K3 surfaces and Gieseker stable
bundles | By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that
for a wide class of K3 surfaces $X$ the punctual Hilbert schemes $\Hilb^n(X)$
can be identified, for all $n\geq 1$, with moduli spaces of Gieseker stable
vector bundles on $X$ of rank $1+2n$. We also introduce a new Fourier-Mukai
type transform ... | 1994-12-14 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Ugo Bruzzo and Antony Maciocia |
alg-geom/9412013 | Even Linkage Classes | In this paper the author generalizes the $\E$ and $\N$-type resolutions used
by Martin-Deschamps and Perrin to subschemes of pure codimension in projective
space, and shows that these resolutions are interchanged by the mapping cone
procedure under a simple linkage. Via these resolutions, Rao's correspondence
is extend... | 1994-12-14 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Scott R. Nollet |
alg-geom/9412012 | On Degenerate Secant and Tangential Varieties and Local Differential
Geometry | We study the local differential geometry of varieties $X^n\subset \Bbb C\Bbb
P^{n+a}$ with degenerate secant and tangential varieties. We show that the
second fundamental form of a smooth variety with degenerate tangential variety
is subject to certain rank restrictions. The rank restrictions imply a slightly
refined v... | 1994-12-13 | 2008-02-03 | [
"alg-geom",
"dg-ga",
"math.AG",
"math.DG"
] | J.M. Landsberg |
alg-geom/9412011 | Quadratic forms, generalized Hamming weights of codes and curves with
many points | We use the relations between quadrics, trace codes and algebraic curves to
construct algebraic curves over finite fields with many points and to compute
generalized Hamming weights of codes. | 1994-12-13 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | G. van der Geer and M. van der Vlugt |
alg-geom/9412009 | $\beta$-nbc bases for cohomology of local systems on hyperplane
complements | We study cohomology with coefficients in a rank one local system on the
complement of an arrangement of hyperplanes $\A$. The cohomology plays an
important role for the theory of generalized hypergeometric functions. We
combine several known results to construct explicit bases of logarithmic forms
for the only non-vani... | 1994-12-12 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Michael Falk, Hiroaki Terao |
alg-geom/9412010 | The multiple-point schemes of a finite curvilinear map of codimension
one | Let X and Y be smooth varieties of dimensions n-1 and n over an arbitrary
algebraically closed field, f:X-> Y a finite map that is birational onto its
image. Suppose that f is curvilinear; that is, at every point of X, the
Jacobian has rank at least n-2. For r at least 1, consider the subscheme N_r of
Y defined by the ... | 1994-12-12 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Steven Kleiman, Joseph Lipman, and Bernd Ulrich |
alg-geom/9412008 | Characteristic classes in the Chow ring | We study the ring of characteristic classes with values in the Chow ring for
principal $G$-bundles over schemes. If we consider bundles which are locally
trivial in the Zariski topology, then we show, for $G$ reductive, that this
ring is isomorphic to the Weyl group invariants in the algebra generated by
characters of ... | 1994-12-10 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | D. Edidin, W. Graham |
alg-geom/9412007 | Characteristic classes and quadric bundles | We construct Euler and Stiefel-Whitney classes of vector bundles with
quadratic form by analyzing the intersection theory of the associated quadric
bundles. We also compute the Chow rings of quadric and isotropic flag bundles.
Along the way, we prove a conjecture of Fulton on top Chern classes of maximal
isotropic sub-... | 1994-12-09 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | D. Edidin, W. Graham |
alg-geom/9412006 | On the Deligne--Beilinson cohomology sheaves | We are showing that the Deligne--Beilinson cohomology sheaves ${\cal
H}^{q+1}({\bf Z}(q)_{\cal D})$ are torsion free by assuming Kato's conjectures
hold true for function fields. This result is `effective' for $q=2$; in this
case, by dealing with `arithmetic properties' of the presheaves of mixed Hodge
structures defin... | 1994-12-07 | 2016-02-17 | [
"alg-geom",
"math.AG"
] | Luca Barbieri-Viale |
alg-geom/9412005 | Sous-vari\'et\'es de codimension $2$ d'une vari\'et\'e ab\'elienne | This is the published version. Previous version had minor errors. In French. | 1994-12-06 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | O. Debarre |
alg-geom/9412003 | A lecture on Kac--Moody Lie algebras of the arithmetic type | We name an indecomposable symmetrizable generalized Cartan matrix $A$ and the
corresponding Kac--Moody Lie algebra ${\goth g} ^\prime (A)$ {\it of the
arithmetic type} if for any $\beta \in Q$ with $(\beta | \beta)<0$ there exist
$n(\beta )\in {\Bbb N}$ and an imaginary root $\alpha \in \Delta^{im}$ such
that $n(\beta ... | 1994-12-06 | 2008-02-03 | [
"alg-geom",
"math.AG",
"math.QA",
"q-alg"
] | Viacheslav V. Nikulin |
alg-geom/9412004 | Fulton-Hansen and Barth-Lefschetz Theorems for Subvarieties of Abelian
Varieties | This is the published (Crelles Journal 467 (1995), 187--197) version of an
e-print entitled "ON SUBVARIETIES OF ABELIAN VARIETIES". | 1994-12-06 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | O. Debarre |
alg-geom/9412002 | Cellular decompositions of compactified moduli spaces of pointed curves | To a closed connected oriented surface $S$ of genus $g$ and a nonempty finite
subset $P$ of $S$ is associated a simplicial complex (the arc complex) that
plays a basic r\^ ole in understanding the mapping class group of the pair
$(S,P)$. It is known that this arc complex contains in a natural way the
product of the Tei... | 1994-12-05 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Eduard Looijenga |
alg-geom/9412001 | Higher $l$-adic Abel-Jacobi mappings and filtrations on Chow groups | We define a filtration on the Chow groups of a smooth projective variety X
over a field k by using the cycle map into continuous l-adic etale cohomology.
The main theorem says that if k is a function field in one variable over a
finite field, this filtration for zero cycles is of length at most one modulo
the kernel of... | 1994-12-02 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Wayne M. Raskind |
alg-geom/9411018 | Homological Algebra of Mirror Symmetry | This is my talk at ICM, Zurich 1994. It contains a short introduction, two
basic examples and a refined version of the Mirror Conjecture formulated in
terms of homological algebra. | 1994-11-30 | 2008-02-03 | [
"alg-geom",
"hep-th",
"math.AG"
] | Maxim Kontsevich |
alg-geom/9411019 | Mirror symmetry and moduli spaces of superconformal field theories | We review the applications of mirror symmetry to the study of the moduli
spaces of two-dimensional conformal field theories with $N{=}(2,2)$
supersymmetry, particularly those constructed from Calabi--Yau manifolds.
(Lecture delivered at the Zurich ICM, section on mathematical physics.) | 1994-11-30 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | David R. Morrison |
alg-geom/9411016 | Bounding the order of automorphisms of certain curves | We study upper bounds on the order of automorphisms of non-singular curves
$X$ satisfying at least one of the following hypothesis: 1) $X$ is an
$m$-sheeted covering of exactly one non-singular curve of genus $\gamma$, where
$m$ is prime; 2) the center of the group of automorphisms of $X$ is
non-trivial. | 1994-11-28 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Fernando Torres |
alg-geom/9411017 | Prym Varieties and the Moduli of Spin Bundles | We show that the Verlinde formula for moduli spaces of spin bundles on an
algebraic curve gives dimensions of direct sums of spaces of theta functions
over the finite set of Prym varieties of unramified double covers of the curve.
We then construct a natural duality (though we do not show it is nondegenerate)
between t... | 1994-11-28 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | W.M. Oxbury |
alg-geom/9411015 | Uniformity of rational points over all quadratic fields | We refine a result of L. Caporaso, J. Harris and B. Mazur, and prove:
Supposons que la conjecture de Lang soit vraie. Soit $K$ un corps des nombres
et $g>1$ un entier. Il existe un nombre $N(K,g)$ tel que si $L$ est une
extension de degr\'e $\leq 3$ de $K$ et $C$ est une courbe lisse projective
conn\`exe, de genre $g$ ... | 1994-11-24 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Dan Abramovich |
alg-geom/9411014 | A Borel-Weil Theorem for Schur Modules | We present a generalization of the classical Schur modules of $GL(N)$
exhibiting the same interplay among algebra, geometry, and combinatorics. A
generalized Young diagram $D$ is an arbitrary finite subset of $\NN \times
\NN$. For each $D$, we define the Schur module $S_D$ of $GL(N)$. We introduce a
projective variety ... | 1994-11-21 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Peter Magyar |
alg-geom/9411013 | A New Approach to Characterise all the Transitive Orientations for an
Undirected Graph | A new approach to find all the transitive orientations for a comparability
graph (finite or infinite) is presented. This approach is based on the link
between the notion of ``strong'' partitive set and the forcing theory (notions
of simplices and multiplices). A mathematical algorithm is given for the case
of a compara... | 1994-11-18 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | A. Belkasri, M. Hamade |
alg-geom/9411012 | On sextic surfaces having only nodes (preliminary report) | Let S be a surface in CP^3, having only nodes as singularities. Let pi: S~
--> S be a minimal resolution of singularities. A set N of nodes on S is EVEN
if there exists a divisor Q on S~ such that 2Q ~ pi^{-1}(N).
Suppose that S has degree 6. It is known (Basset) that S cannot have 67 or
more nodes. It is also known ... | 1994-11-17 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | David B. Jaffe |
alg-geom/9411010 | The McKay correspondence for finite subgroups of SL(3,\C) | This is the final draft, containing very minor proof-reading corrections. Let
G in SL(n,\C) be a finite subgroup and \fie: Y -> X = \C^n/G any resolution of
singularities of the quotient space. We prove that crepant exceptional prime
divisors of Y correspond one-to-one with ``junior'' conjugacy classes of G.
When n = 2... | 1994-11-16 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Yukari Ito and Miles Reid |
alg-geom/9411011 | Classification of Varieties with Canonical Curve Section via Gaussian
maps on Canonical Curves | Let $C \subset P^{g-1}$ be a smooth canonical curve of genus $g \geq 3$. The
purpose of this article is to further develop a method to classify varieties
having $C$ as their curve section, using Gaussian map computations. In a
previous article a careful analysis of the degeneration to the cone over the
hyperplane secti... | 1994-11-16 | 2019-07-02 | [
"alg-geom",
"math.AG"
] | C. Ciliberto, A. Lopez, and R. Miranda |
alg-geom/9411008 | On the Corank of Gaussian Maps for General Embedded K3 Surfaces | Let $S_{g}$ be a general prime K3 surface in $P^g$ of genus $g \geq 3$ or a
general double cover of $P^2$ ramified along a sextic curve for $g = 2$ and $S
= S_{i,g}$ its {\it i}-th Veronese embedding. In this article we compute the
corank of the Gaussian map $\Phi:\bigwedge^2 H^0(S,O_S(1)) \to
H^0(S,\Omega_S^1(2))$ for... | 1994-11-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | C. Ciliberto, A. Lopez, and R. Miranda |
alg-geom/9411009 | Rational Points of Bounded Height on Compactifications of Anisotropic
Tori | We investigate the analytic properties of the zeta-function associated with
heights on equivariant compactifications of anisotropic tori over number
fields. This allows to verify conjectures about the distribution of rational
points of bounded height. | 1994-11-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Victor V. Batyrev and Yuri Tschinkel |
alg-geom/9411007 | Conformal Differential Forms of an Analytic Germ | A differential form vanishing on the tangent space at smooth points of a
reduced embedded analytic germ is called conormal. For proving that a conormal
one--form of a hypersurface vanishes at its singularities we state a
Bertini--type theorem. | 1994-11-12 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Robert Gassler |
alg-geom/9411006 | Logarithmic Embeddings and Logarithmic Semistable Reductions | In this paper, we give a criterion for the existence of logarithmic
embeddings -- which was first introduced by Steenbrink -- for general normal
crossing varieties. Using this criterion, we also give a new proof of the
theorem of Kawamata--Namikawa which states a criterion for the existence of the
log structures of sem... | 1994-11-11 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Fumiharu Kato |
alg-geom/9411005 | Bott's formula and enumerative geometry | We outline a strategy for computing intersection numbers on smooth varieties
with torus actions using a residue formula of Bott. As an example,
Gromov-Witten numbers of twisted cubic and elliptic quartic curves on some
general complete intersection in projective space are computed. The results are
consistent with predi... | 1994-11-10 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | G. Ellingsrud and S. A. Str{\o}mme |
alg-geom/9411004 | Operads and moduli spaces of genus $0$ Riemann surfaces | We study a pair of dual operads which arise in the study of moduli spaces of
pointed genus 0 curves (this duality is similar to that between commutative and
Lie algebras). These operads are both quadratic, and even Koszul, and arise in
the theory of quantum cohomology. | 1994-11-09 | 2008-02-03 | [
"alg-geom",
"hep-th",
"math.AG",
"math.QA",
"q-alg"
] | Ezra Getzler |
alg-geom/9411001 | Towards a separation theorem of points by adjoint linear systems on
polarized threefolds | Main Result:
Let $(M,L)$ be a smooth complex polarized threefold. Then the linear system
$| K+tL|$ separates any two different points on $M$ for any $t\ge 6$, where $K$
is the canonical bundle of $M$. The argument in the proof is a variant of
Ein-Lazarsfeld method. Although it is less powerful, it is cheaper, i.e., n... | 1994-11-08 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Takao Fujita |
alg-geom/9411003 | On the invariants of base changes of pencils of curves, II | In this part of the series, we shall investigate Deligne-Mumford semistable
reductions from the point of view of numerical invariants. As an application,
we obtain two numerical criterions for a base change to be stabilizing, and for
a fibration to be isotrivial. We also obtain a canonical class inequality for
any fibr... | 1994-11-08 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Sheng-Li Tan |
alg-geom/9411002 | The minimal number of singular fibers of a semistable curves over P^1 | In this paper, we shall prove Beauville's conjecture: if $f:S \to P^1$ is a
non-trivial semistable fibration of genus g>1, then $f$ admits at least 5
singular fibers. We have also constructed an example of genus 2 with 5 singular
fibers. This paper will appear in the Journal of Algebraic Geometry. | 1994-11-08 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Sheng-Li Tan |
alg-geom/9410031 | On the Picard group: torsion and the kernel | For a homomorphism f: A --> B of commutative rings, let D(A,B) denote
Ker[Pic(A) --> Pic(B)]. Let k be a field and assume that A is a f.g. k-algebra.
We prove a number of finiteness results for D(A,B). Here are four of them.
1: Suppose B is a f.g. and faithfully flat A-algebra which is geometrically
integral over k... | 1994-10-31 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Robert Guralnick, David Jaffe, Wayne Raskind, and Roger Wiegand |
alg-geom/9410032 | The geometry of A-graded algebras | We study algebras k[x_1,...,x_n]/I which admit a grading by a subsemigroup of
N^d such that every graded component is a one-dimensional k-vector space.
V.I.~Arnold and coworkers proved that for d = 1 and n <= 3 there are only
finitely many isomorphism types of such A-graded algebras, and in these cases I
is an initial ... | 1994-10-31 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Bernd Sturmfels |
alg-geom/9410030 | Self-linking number of a real algebraic link | For a nonsingular real algebraic curve in the 3-dimensional projective space
and sphere a new numeric characteristic is introduced. It takes integer values,
is invariant under rigid isotopy, multiplied by -1 under mirror reflection. In
a sense it is a Vassiliev invariant of degree 1 and a counter-part of a link
diagram... | 1994-10-30 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Oleg Viro |
alg-geom/9410028 | Quantum Cohomology of Rational Surfaces | In this article formulas for the quantum product of a rational surface are
given, and used to give an algebro-geometric proof of the associativity of the
quantum product for strict Del Pezzo surfaces, those for which $-K$ is very
ample. An argument for the associativity in general is proposed, which also
avoids resorti... | 1994-10-27 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Bruce Crauder and Rick Miranda |
alg-geom/9410029 | Contractions on a manifold polarized by an ample vector bundle | A complex manifold $X$ of dimension $n$ together with an ample vector bundle
$E$ on it will be called a {\sf generalized polarized variety}. The adjoint
bundle of the pair $(X,E)$ is the line bundle $K_X + det(E)$. We study the
positivity (the nefness or ampleness) of the adjoint bundle in the case $r :=
rank (E) = (n-... | 1994-10-27 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | M. Andreatta, M. Mella |
alg-geom/9410026 | Exceptional vector bundle on Enriques surfaces | The main purpose in this paper is to study exceptional vector bundles on
Enriques surfaces. | 1994-10-26 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Severinas Zube |
alg-geom/9410027 | Submodules of the deficiency modules and an extension of Dubreil's
Theorem | In its most basic form, Dubreil's Theorem states that for an ideal $I$
defining a codimension $2$, arithmetically Cohen--Macaulay subscheme of
projective $n$-space, the number of generators of $I$ is bounded above by the
minimal degree of a minimal generator plus $1$. By introducing a new ideal $J$
which is the complet... | 1994-10-26 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Heath Martin and Juan Migliore |
alg-geom/9410025 | On the automorphism groups of algebraic bounded domains | Let $D$ be a bounded domain in $C^n$. By the theorem of H.~Cartan, the group
$Aut(D)$ of all biholomorphic automorphisms of $D$ has a unique structure of a
real Lie group such that the action $Aut(D)\times D\to D$ is real analytic.
This structure is defined by the embedding $C_v\colon Aut(D)\hookrightarrow
D\times Gl_n... | 1994-10-25 | 2008-02-03 | [
"alg-geom",
"math.AG",
"math.CV"
] | Dmitri Zaitsev |
alg-geom/9410024 | Quantum Schubert Calculus | This paper works out the versions of the classical Giambelli and Pieri
formulas in the context of quantum cohomology of a complex Grassmannian. | 1994-10-24 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Aaron Bertram (University of Utah) |
alg-geom/9410022 | $L^2$ vanishing theorems for positive line bundles and adjunction
theory, Lecture Notes of a CIME course on "Transcendental Methods of
Algebraic Geometry" (Cetraro, Italy, July 1994) | The notes start with an elementary introduction to a few important analytic
techniques of algebraic geometry: closed positive currents, $L^2$ estimates for
the $\dbar$-operator on positive vector bundles, Nadel's vanishing theorem for
multiplier ideal sheaves (a generalization of the well-known Kawamata-Viehweg
vanishi... | 1994-10-21 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Jean-Pierre Demailly |
alg-geom/9410023 | Remarks on rational points of varieties whose cotangent bundles are
generated by global sections | In this short note, we will gives several remarks on rational points of
varieties whose cotangent bundles are generated by global sections. For
example, we will show that if the sheaf of differentials of a projective
variety X over a number field k is ample and generated by global sections, then
the set of k-rational p... | 1994-10-21 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Atsushi Moriwaki |
alg-geom/9410021 | The Theta Divisor of $SU_C(2,2d)^s$ is very Ample if $C$ is not
Hyperelliptic | Let $X$ be the moduli space of semistable rank 2 vector bundles over a smooth
curve C of genus $g \ge 2$ and $\theta : X \to PH^0(L)^*$ be the map associated
to the generalized theta divisor L on X. We prove that for C not hyperelliptic,
the map $\theta$ is injective and the differential of $\theta$ is injective at
smo... | 1994-10-21 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | S. Brivio and A. Verra |
alg-geom/9410019 | Recursive relations for the cohomology ring of moduli spaces of stable
bundles | The authors learnt that similar results have been independently found by
D.Zagier, V.Baranovsky and V.Balaji/A.King/P.Newstead. The corresponding
references have been added (and some typos corrected). | 1994-10-20 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | B.Siebert and G.Tian |
alg-geom/9410020 | On the prime-to-$p$ part of the groups of connected components of
N\'eron models | This article improves certain results of Dino Lorenzini concerning the groups
of connected components of special fibres of N\'eron models of abelian
varieties. Lorenzini has shown the existence of a four step filtration on the
prime-to-$p$ part ($p$ is the residue characteristic), and proved certain
bounds for the succ... | 1994-10-20 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Bas Edixhoven |
alg-geom/9410017 | Toric Residues | In ${\bf C}^{n+1}$, one can show that the residue of $n+1$ homogeneous forms
of the same degree equals the integral of a certain $(n,n)$ form over ${\bf
P}^n$. Furthermore, the Jacobian of the forms has nonzero residue equal to a
certain intersection number. In this paper, we generalize these results to an
arbitrary pr... | 1994-10-19 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | David A. Cox (Amherst College) |
alg-geom/9410018 | A Matsusaka-type Theorem for Surfaces | The purpose of this note is to give an (esentially optimal) effective version
of Matsusaka's Big theorem for smooth projective surfaces. | 1994-10-19 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Guillermo Fern\'andez del Busto |
alg-geom/9410016 | Mumford-Thaddeus Principle on the Moduli Space of Vector Bundles on an
Algebraic Surface | We study the behavior of the Gieseker space of semistable torsion-free
sheaves of rank r and fixed c_1, c_2 on a non-singular projective surface as
the polarization varies. It is shown that the ample cone admits a locally
finite chamber structure, and that passing a wall adjacent to a pair of
chambers has the effect of... | 1994-10-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | K. Matsuki and R. Wentworth |
alg-geom/9410015 | On the Hitchin System | The Hitchin system is a completely integrable hamiltonian system (CIHS) on
the cotangent space to the moduli space of semi-stable vector bundles over a
curve. We consider the case of rank-two vector bundles with trivial
determinant. Such a bundle $E$ defines a divisor $D_E$ in the Jacobian of the
curve and for any smoo... | 1994-10-14 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Bert van Geemen and Emma Previato |
alg-geom/9410014 | On the linearization of the automorphism groups of algebraic domains | Let $D$ be a domain in $C^n$ and $G$ a topological group which acts
effectively on $D$ by holomorphic automorphisms. In this paper we are
interested in projective linearizations of the action of $G$, i.e. a linear
representation of $G$ in some $C^{N+1}$ and an equivariant imbedding of $D$
into $\P^N$ with respect to th... | 1994-10-13 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Dmitri Zaitsev |
alg-geom/9410013 | On the Malcev completion of K\"ahler groups | Restrictions are placed on the presentation and holonomy algebra of a
K\"ahler group. Let $X$ be compact K\"ahler. It is known that the formality of
$X$, its Albanese map and the Hodge structure of $H^{\ast}(X)$ impose
restrictions on the holonomy algebra of $\pi_1 X$. We derive further
restrictions from Sullivan's 1-m... | 1994-10-13 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Jaume Amoros |
alg-geom/9410012 | The principle describing possible combinations of singularities in
deformations of a fixed singularity | This is the abstract prepared for Workshop on Topology and Geometry (Zhang
jiang, China, October 1994), and is a review of my recent works. What kinds of
combinations of singularities can appear in small deformation fibers of a fixed
singularity? We consider this problem for hypersurface singularities on complex
analyt... | 1994-10-13 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Tohsuke Urabe |
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