22 citations · 51 across the 22 of their papers we have counts for
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Effective calculation of local Weil functions via presentations of Cartier divisors
Nathan Grieve
We address the question of effectivity for calculation of local Weil functions from the viewpoint of presentations of Cartier divisors. This builds on the approach of Bombieri and…
CM-line bundles and slope $\K$-semistability for big and nef line bundles along subschemes
Nathan Grieve
We apply the theory of the Chow-Mumford line bundle as developed by Arezzo-et-al and build on earlier key insights of Paul and Tian (see \cite{Arezzo:DellaVedova:LaNave} and the re…
About the Bohr-Sommerfeld polytope and the multiplicative -eigenvalue problem for the trinion
Nathan Grieve
We study in detail the work of Jeffrey and Weitsman, especially \cite{Jeffrey:Weitsman:1992} and \cite{Jeffrey:Weitsman:1994}. In particular, we describe the manner in which the in…
Trigonal Canonically Fibered Surfaces
Houari Benammar Ammar, Xi Chen, Nathan Grieve
We fix some gaps of a proof of Xiao's conjecture on canonically fibered surfaces of relative genus 5 by the second author. Our argument simplifies the original proof and gives a mu…
Abstract simplicial complexes in {\tt Macaulay2}
Nathan Grieve
{\tt AbstractSimplicialComplexes.m2} is a computer algebra package written for the computer algebra system {\tt Macaulay2} \cite{M2}. It provides new infrastructure to work with ab…