Fundamental group schemes of \(n\)-fold symmetric product of a smooth projective curve

DOI10.1007/s12044-021-00641-8zbMath1492.14077arXiv1907.09388OpenAlexW2963285143MaRDI QIDQ2062919

Ronnie Sebastian, Arjun Paul

Publication date: 3 January 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09388

zbMATH Keywords

Tannakian categorysemistable bundle\(S\)-fundamental group schemeessentially finite vector bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Homotopy theory and fundamental groups in algebraic geometry (14F35) Group schemes (14L15)

Cites Work

• On the S-fundamental group scheme
• The fundamental group-scheme
• Hodge cycles, motives, and Shimura varieties
• Line bundles on quasi-symmetric powers of varieties
• Fundamental group schemes of Hilbert scheme of \(n\) points on a smooth projective surface
• Monodromy group for a strongly semistable principal bundle over a curve
• On the S-fundamental group scheme. II
• On the Fundamental Group of a Variety with Quotient Singularities
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