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- University of WashingtonUS50 papers
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6 papers · 1 filter
Weak Approximation for General Degree Two del Pezzo Surfaces
Amanda Knecht
We address weak approximation for certain del Pezzo surfaces defined over the function field of a curve. We study the rational connectivity of the smooth locus of degree two del Pe…
Log minimal model program for the moduli space of stable curves: The first flip
Brendan Hassett, Donghoon Hyeon
We give a geometric invariant theory (GIT) construction of the log canonical model of the pairs for for small $ε\in \mathbb Q…
Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces
Brendan Hassett, Yuri Tschinkel
We study the birational geometry of irreducible holomorphic symplectic varieties arising as varieties of lines of general cubic fourfolds containing a cubic scroll. We compute the…
Moving and ample cones of holomorphic symplectic fourfolds
Brendan Hassett, Yuri Tschinkel
We analyze the ample and moving cones of holomorphic symplectic manifolds, in light of recent advances in the minimal model program. As an application, we establish a numerical cri…
The Abelian Monodromy Extension Property for Families of Curves
Sabin Cautis
Necessary and sufficient conditions are given (in terms of monodromy) for extending a family of smooth curves over an open subset U of S to a family of stable curves over S. More p…
Integral points and effective cones of moduli spaces of stable maps
Brendan Hassett, Yuri Tschinkel
Consider the Fulton-MacPherson configuration space of points on , which is isomorphic to a certain moduli space of stable maps to . We compute the cone of effective $…