Results 11 to 20 of about 60 (59)
Representation type via Euler characteristics and singularities of quiver Grassmannians
Bulletin of the London Mathematical Society, Volume 51, Issue 5, Page 815-835, October 2019., 2019 Abstract In this paper, we characterize the representation type of an acyclic quiver by the properties of its associated quiver Grassmannians. This characterization utilizes and extends known results about singular quiver Grassmannians and cell decompositions into affine spaces.
Oliver Lorscheid, Thorsten Weist
wiley +1 more source
$F$-SIGNATURE UNDER BIRATIONAL MORPHISMS
Forum of Mathematics, Sigma, 2019 We study $F$-signature under proper birational morphisms $\unicode[STIX]{x1D70B}:Y\rightarrow X$, showing that $F$-signature strictly increases for small morphisms or if $K_{Y}\leqslant \unicode[STIX]{x1D70B}^{\ast }K_{X}$.
LINQUAN MA +3 more
doaj +1 more source
A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS
Forum of Mathematics, Sigma, 2016 The author finds a limit on the singularities that arise in geometric generic fibers of morphisms between smooth varieties of positive characteristic by studying changes in embedding dimension under inseparable field extensions.
ZACHARY MADDOCK
doaj +1 more source
Symbolic Power Containments in Singular Rings in Positive Characteristic
, 2022 The containment problem for symbolic and ordinary powers of ideals asks for what values of a and b we have I(a)⊆Ib. Over a regular ring, a result by Ein-Lazarsfeld-Smith, Hochster-Huneke, and Ma-Schwede partially answers this question, but the ...
Ma, Linquan +2 more
core
HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES
Forum of Mathematics, Sigma, 2014 We apply the methods of Heegaard Floer homology to identify topological properties of complex curves in $\mathbb{C}P^{2}$. As one application, we resolve an open conjecture that constrains the Alexander polynomial of the ...
MACIEJ BORODZIK, CHARLES LIVINGSTON
doaj +1 more source
Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero [PDF]
, 2004 2000 Mathematics Subject Classification: 14B05, 32S25.The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution processes, both classical and modern.
Piedra-Sánchez, R., Tornero, J.
core
Stable degeneration of families of klt singularities with constant local volume
Forum of Mathematics, SigmaFor a klt singularity, C. Xu and Z. Zhuang [33] proved the associated graded algebra of a minimizing valuation of the normalized volume function is finitely generated, finishing the proof of the stable degeneration conjecture proposed by C. Li and C. Xu.
Zhiyuan Chen
doaj +1 more source
Complements and coregularity of Fano varieties
Forum of Mathematics, SigmaWe 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 $(X,B)$ of coregularity $1$ is at most $120\lambda ^2$ , where
Fernando Figueroa +3 more
doaj +1 more source
Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell
Forum of Mathematics, SigmaDale Peterson has discovered a surprising result that the quantum cohomology ring of the flag variety $\operatorname {\mathrm {GL}}_n({\mathbb {C}})/B$ is isomorphic to the coordinate ring of the intersection of the Peterson variety ...
Tatsuya Horiguchi, Tomoaki Shirato
doaj +1 more source
THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE
Forum of Mathematics, Pi, 2016 In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$
PHAM HUU TIEP
doaj +1 more source