23 citations · 183 across the 65 of their papers we have counts for
6 papers · 1 filter
Cohomology support loci of local systems
Nero Budur, Yongqiang Liu, Luis Saumell +1
The support S of Sabbah's specialization complex is a simultaneous generalization of the set of eigenvalues of the monodromy on Deligne's nearby cycles complex, of the support of t…
Maximum likelihood degree of Fermat hypersurfaces via Euler characteristics
Botong Wang
Maximum likelihood degree of a projective variety is the number of critical points of a general likelihood function. In this note, we compute the Maximum likelihood degree of Ferma…
Local systems on analytic germ complements
Nero Budur, Botong Wang
We prove that the cohomology jump loci of rank one local systems on the complement in a small ball of a germ of a complex analytic set are finite unions of torsion translates of su…
Recent results on cohomology jump loci
Nero Budur, Botong Wang
This is a survey of recent results related to cohomology jump loci. It emphasizes connections with deformations with cohomology constraints, global structural results for rank one…
The maximum likelihood degree of mixtures of independence models
Jose Israel Rodriguez, Botong Wang
The maximum likelihood degree (ML degree) measures the algebraic complexity of a fundamental optimization problem in statistics: maximum likelihood estimation. In this problem, one…
Rank one local systems and forms of degree one
Nero Budur, Botong Wang, Youngho Yoon
Cohomology support loci of rank one local systems of a smooth quasiprojective complex algebraic variety are finite unions of torsion-translated complex subtori of the character var…