Results 1 to 10 of about 2,264 (20)
On Clifford's theorem for singular curves [PDF]
, 2013 Let C be a 2-connected Gorenstein curve either reduced or contained in a smooth algebraic surface and let S be a subcanonical cluster (i.e. a 0-dim scheme such that the space H^0(C, I_S K_C) contains a generically invertible section).
Franciosi, Marco, Tenni, Elisa
core +2 more sources
New symplectic V-manifolds of dimension four via the relative compactified Prymian [PDF]
, 2007 Three new examples of 4-dimensional irreducible symplectic V-manifolds are constructed. Two of them are relative compactified Prymians of a family of genus-3 curves with involution, and the third one is obtained from a Prymian by Mukai's flop.
Markushevich, D., Tikhomirov, A. S.
core +2 more sources
Toward a geometric analogue of Dirichlet's unit theorem [PDF]
, 2014 In this note, we propose a geometric analogue of Dirichlet's unit theorem on arithmetic varieties, that is, if X is a normal projective variety over a finite field and D is a pseudo-effective Q-Cartier divisor on X, does it follow that D is Q-effective ...
Moriwaki, Atsushi
core +3 more sources
Families over special base manifolds and a conjecture of Campana [PDF]
, 2010 Consider a smooth, projective family of canonically polarized varieties over a smooth, quasi-projective base manifold Y, all defined over the complex numbers.
Jabbusch, Kelly, Kebekus, Stefan
core +2 more sources
A Positivstellensatz for projective real varieties
, 2011 Given two positive definite forms f, g in R[x_0,...,x_n], we prove that fg^N is a sum of squares of forms for all sufficiently large N >= 0. We generalize this result to projective R-varieties X as follows.
Scheiderer, Claus
core +1 more source
Nonabelian Hodge Theory for klt spaces and descent theorems for vector bundles
, 2018 We generalise Simpson's nonabelian Hodge correspondence to the context of projective varieties with klt singularities. The proof relies on a descent theorem for numerically flat vector bundles along birational morphisms.
Greb, Daniel +3 more
core +1 more source
Movable curves and semistable sheaves [PDF]
, 2015 This paper extends a number of known results on slope-semistable sheaves from the classical case to the setting where polarisations are given by movable curve classes.
Greb, Daniel +2 more
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The Tate Conjecture for a family of surfaces of general type with p_g=q=1 and K^2=3
, 2015 We prove a big monodromy result for a smooth family of complex algebraic surfaces of general type, with invariants p_g=q=1 and K^2=3, that has been introduced by Catanese and Ciliberto. This is accomplished via a careful study of degenerations.
Lyons, Christopher
core +1 more source
BPS states, torus links and wild character varieties
, 2017 A string theoretic framework is constructed relating the cohomology of wild character varieties to refined stable pair theory and torus link invariants. Explicit conjectural formulas are derived for wild character varieties with a unique irregular point ...
Diaconescu, Duiliu-Emanuel +2 more
core +1 more source
Moduli of ADHM Sheaves and Local Donaldson-Thomas Theory
, 2012 The ADHM construction establishes a one-to-one correspondence between framed torsion free sheaves on the projective plane and stable framed representations of a quiver with relations in the category of complex vector spaces.
Artin +71 more
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