Results 1 to 10 of about 2,305 (55)
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
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
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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
A generalized Gaeta's Theorem [PDF]
, 2007 We generalize Gaeta's Theorem to the family of determinantal schemes. In other words, we show that the schemes defined by minors of a fixed size of a matrix with polynomial entries belong to the same G-biliaison class of a complete intersection whenever ...
Gorla, Elisa
core +3 more sources
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
core +1 more source
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
Configuration of points and strings [PDF]
, 2011 Let $X$ be a smooth projective variety of dimension $n\geq 2$. It is shown that a finite configuration of points on $X$ subject to certain geometric conditions possesses rich inner structure.
Bondal +9 more
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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
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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