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Mathematics > Algebraic Geometry

arXiv:2210.00967 (math)
[Submitted on 3 Oct 2022 (v1), last revised 19 Oct 2022 (this version, v2)]

Title:Strong non-vanishing of cohomologies and strong non-freeness of adjoint line bundles on $n$-Raynaud surfaces

Authors:Yongming Zhang
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Abstract:We formally give the definition of $n$-Tango curve and $n$-Raynaud surface. Then we study the pathologies on $n$-Raynaud surfaces and as a corollary we give a simple disproof of Fujita's conjecture on surfaces in positive characteristics.
Comments: 12pages and all comments are welcome!
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14C20, 14F17
Cite as: arXiv:2210.00967 [math.AG]
  (or arXiv:2210.00967v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2210.00967

Submission history

From: Yongming Zhang [view email]
[v1] Mon, 3 Oct 2022 14:31:25 UTC (14 KB)
[v2] Wed, 19 Oct 2022 09:36:23 UTC (14 KB)
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