University of Utah

output

19912026

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2021 · math.AGShow all

8 papers · 2 filters

math.AG2021★ 6 cited

Boundedness of elliptic Calabi-Yau threefolds

Stefano Filipazzi, Christopher D. Hacon, Roberto Svaldi

We show that elliptic Calabi--Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the…

math.AG2021

Residual finiteness for central extensions of lattices in $PU (n, 1)$ and negatively curved projective varieties

Matthew Stover, Domingo Toledo

We study residual finiteness for cyclic central extensions of cocompact arithmetic lattices $Γ < PU (n, 1)$ simple type. We prove that the preimage of $Γ$ in any connected co…

math.AG2021★ 3 cited

Hodge numbers are not derived invariants in positive characteristic

Nicolas Addington, Daniel Bragg

We study a pair of Calabi-Yau threefolds X and M, fibered in non-principally polarized Abelian surfaces and their duals, and an equivalence D^b(X) = D^b(M), building on work of Gro…

math.AG2021★ 1 cited

Residually finite lattices in $PU (2, 1)$ and fundamental groups of smooth projective surfaces

Matthew Stover, Domingo Toledo

This paper studies residual finiteness of lattices in the universal cover of $PU (2, 1)$ and applications to the existence of smooth projective varieties with fundamental gr…

math.AG2021★ 10 cited

Shokurov's conjecture on conic bundles with canonical singularities

Jingjun Han, Chen Jiang, Yujie Luo

A conic bundle is a contraction $X \to Z$ between normal varieties of relative dimension $1$ such that $- K_{X}$ is relatively ample. We prove a conjecture of Shokurov which predicts t…

math.AG2021★ 8 cited

Birational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces

José Ignacio Yáñez

For a Calabi-Yau manifold $X$ , the Kawamata - Morrison movable cone conjecture connects the convex geometry of the movable cone $Mov (X)$ to the birational autom…

math.AG2021★ 16 cited

The existence of the Kähler-Ricci soliton degeneration

Harold Blum, Yuchen Liu, Chenyang Xu +1

We prove an algebraic version of the Hamilton-Tian Conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a r…

math.AG2021

RandomPoints package for Macaulay2

Sankhaneel Bisui, Zhan Jiang, Sarasij Maitra +2

We present {\tt RandomPoints}, a package in \emph{Macaulay2} designed mainly to identify rational and geometric points in a variety over a finite field. We provide tools to estimat…