5 citations · 13 across the 6 of their papers we have counts for
6 papers
Complements and coregularity of Fano varieties
Fernando Figueroa, Stefano Filipazzi, Joaquín Moraga +1
We study the relation between the coregularity, the index of log Calabi-Yau pairs, and the complements of Fano varieties. We show that the index of a log Calabi-Yau pair of…
Log canonical thresholds and coregularity
Fernando Figueroa, Joaquín Moraga, Junyao Peng
We prove the ascending chain condition for log canonical thresholds of bounded coregularity.
A Serre Relation in the -theoretic Hall algebra of surfaces
Junyao Peng, Yu Zhao
We prove a Serre relation in the -theoretic Hall algebra of surfaces constructed by Kapranov-Vasserot and the second author.
Patterns of primes in the Sato-Tate conjecture
Nate Gillman, Michael Kural, Alexandru Pascadi +2
Fix a non-CM elliptic curve , and let denote the trace of Frobenius at . The Sato-Tate conjecture gives the limiting distribut…
Counting Shellings of Complete Bipartite Graphs and Trees
Yibo Gao, Junyao Peng
A shelling of a graph, viewed as an abstract simplicial complex that is pure of dimension 1, is an ordering of its edges such that every edge is adjacent to some other edges appear…
Heron triangle and rhombus pairs with a common area and a common perimeter
Yong Zhang, Junyao Peng
By Fermat's method, we show that there are infinitely many Heron triangle and -integral rhombus pairs with a common area and a common perimeter. Moreover, we prove that there do…