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This article initiates the study of discrete Okounkov bodies and their asymptotic behavior, with applications to asymptotic analysis of stability and global log canonical thresholds, and higher-dimensional Weierstrass gap phenomena.
Externí odkaz:
http://arxiv.org/abs/2410.20694
Autor:
Jin, Chenzi, Rubinstein, Yanir A.
This article addresses a combinatorial problem with applications to algebraic geometry. To a convex lattice polytope $P$ and each of its integer dilations $kP$ one may associate the barycenter of its lattice points. This sequence of $k$-quantized bar
Externí odkaz:
http://arxiv.org/abs/2406.18969
Autor:
Jin, Chenzi, Rubinstein, Yanir A.
In 1988, Tian posed the stabilization problem for equivariant global log canonical thresholds. We solve it in the case of toric Fano manifolds. This is the first general result on Tian's problem. A key new estimate involves expressing complex singula
Externí odkaz:
http://arxiv.org/abs/2403.17262
Autor:
Jin, Chenzi
The notion of (strongly) asymptotically log Fano varieties was introduced in 2013 by Cheltsov--Rubinstein, who posed the problem of classifying all strongly asymptotically log del Pezzo surfaces with smooth boundary that admit K\"ahler--Einstein edge
Externí odkaz:
http://arxiv.org/abs/2306.07278
Autor:
Jin, Chenzi, Rubinstein, Yanir A.
The Chebyshev potential of a K\"ahler potential on a projective variety, introduced by Witt Nystr\"om, is a convex function defined on the Okounkov body. It is a generalization of the symplectic potential of a torus-invariant K\"ahler potential on a
Externí odkaz:
http://arxiv.org/abs/2210.13802
Fission yeast G2/M transition is regulated by a biochemical reaction networks which contains four components: Cdc13, Cdc2, Wee1, and Cdc25. This circuit is characterized by the ultrasensitive responses of Wee1 or Cdc25 to Cdc13/Cdc2 activity, and the
Externí odkaz:
http://arxiv.org/abs/1612.01233
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Autor:
Jin, Chenzi, Rubinstein, Yanir A.
Publikováno v:
Bulletin of the London Mathematical Society; Mar2024, Vol. 56 Issue 3, p881-906, 26p
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