Skip to content
DraconiticResearch
Search Sources API
197,788 studies31 sourcesUpdated 27 min ago
PreprintarXiv licencearXiv

Independence of the Grothendieck classes of twisted symplectic flag varieties

  • Goncalo Tabuada
Open at sourcePDFDOICite

Abstract

In this short note, making use of the theory of noncommutative motives, we prove that the Grothendieck classes of the twisted symplectic flag varieties are linearly independent and moreover homogeneous-quadratic independent in the Grothendieck ring of algebraic varieties.

Related

  1. Grothendieck ring of varieties and at-the-characteristic numerical invariants
    Toni Annala, Matthew Satriano, Evan Sundbo
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. Grothendieck Weights on Permutohedral Varieties and Matroids
    Yiyu Wang
    arXivPreprintarXiv licenceFull textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv
  3. Categorical and Floer-theoretic entropies: comparison and counting conjugacy classes in symplectic mapping class groups
    Sangjin Lee
    arXivPreprintarXiv licenceFull textDynamical systemsGeometry & topologyarXiv
  4. SUPERSINGULAR TATE CONJECTURE FOR IRREDUCIBLE SYMPLECTIC VARIETIES OF KNOWN TYPES: I
    Lie Fu, Xuanlin Huang, Zhiyuan Li
    HALPreprintCC BY-NC-ND 4.0Full textAlgebra & number theoryHALarXiv
  5. Quasi-F-split primitive symplectic varieties in positive characteristic
    Haitao Zou
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{tabuada2026independence,
  title = {{Independence of the Grothendieck classes of twisted symplectic flag varieties}},
  author = {Goncalo Tabuada},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28181},
  eprint = {2608.28181},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28181},
}
RIS
TY  - UNPB
TI  - Independence of the Grothendieck classes of twisted symplectic flag varieties
AU  - Goncalo Tabuada
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28181
UR  - https://arxiv.org/abs/2608.28181
AB  - In this short note, making use of the theory of noncommutative motives, we prove that the Grothendieck classes of the twisted symplectic flag varieties are linearly independent and moreover homogeneous-quadratic independent in the Grothendieck ring of algebraic varieties.
ER  -