The Symbolic Blow-up and the Losev Partial Resolution A Proof of Kivinen's Conjecture 6.3

This paper proves Kivinen’s Conjecture 6.3 by establishing an isomorphism between the symbolic blow-up and the Losev partial symplectic resolution. The proof combines finite-generation results with a divisor-theoretic comparison of polarizations, resolving the remaining cases of types G₂ and F₄.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-29
DOI
https://doi.org/10.5281/zenodo.23763725
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

The Symbolic Blow-up and the Losev Partial Resolution A Proof of Kivinen's Conjecture 6.3

Qiping Zhou
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
preprint

The Symbolic Blow-up and the Losev Partial Resolution A Proof of Kivinen's Conjecture 6.3

Qiping Zhou
preprint en

Abstract

This paper proves Kivinen’s Conjecture 6.3 by establishing an isomorphism between the symbolic blow-up and the Losev partial symplectic resolution. The proof combines finite-generation results with a divisor-theoretic comparison of polarizations, resolving the remaining cases of types G₂ and F₄.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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The Symbolic Blow-up and the Losev Partial Resolution A Proof of Kivinen's Conjecture 6.3 — Qiping Zhou · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS