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19982003
most citedSheaves of t-structures and valuative criteria for stable complexes

2 citations · 6 across the 4 of their papers we have counts for

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math.AG20032 cited

Sheaves of t-structures and valuative criteria for stable complexes

Dan Abramovich, Alexander Polishchuk

In this work more questions arise than answers given, for which of course we do not apologize. The core of this paper is concerned with the construction of a ``constant'' t-structu…

math.AG20031 cited

Computations with moduli of perverse point sheaves

Dan Abramovich, Jiun C. Chen

Given a birational modification of complex projective varieties with fiber dimension 1 and rational singularities, consider the main component of Bridgeland's moduli spac…

math.AG20032 cited

Flops, flips and perverse point sheaves on threefold stacks

Dan Abramovich, Jiun C. Chen

We consider two cases of birational transformations of Q-Gorenstein threefolds: the case of a terminal flop and the case of a Francia flip. In the first case we show that, if one r…

math.AG20021 cited

Canonical models and stable reduction for plurifibered varieties

Dan Abramovich

A cheap method for constructing canonical models and complete moduli for complex projective varieties with a structure called "rational plurifibration" is given. A result about sem…

math.AG2001

Algebraic orbifold quantum products

Dan Abramovich, Tom Graber, Angelo Vistoli

The purpose of this note is to give an overview of our work on defining algebraic counterparts for W. Chen and Y. Ruan's Gromov-Witten Theory of orbifolds. This work will be descri…

math.AG2001

Twisted bundles and admissible covers

Dan Abramovich, Alessio Corti, Angelo Vistoli

The cherry on top of this stacky paper is the following: for any g>1 we give a finite group G such that the moduli space of connected admissible G-covers of genus g is a smooth, fi…