Lecture notes introducing condensed mathematics as a framework for topology in algebraic and analytic settings.
Andreychev, Pseudocoherent and P erfect C omplexes and V ector B undles on A nalytic A dic S paces
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
UNVERDICTED 4representative citing papers
The p-adic monodromy theorem holds for families of G_K-equivariant vector bundles over the Fargues-Fontaine curve parametrized by algebraic-affinoid Q_p-algebras, enabling classification of line bundles without freeness assumptions.
Lecture notes use condensed mathematics to reprove finiteness of coherent cohomology, Serre duality, GAGA, and Hirzebruch-Riemann-Roch for compact complex manifolds.
Lecture notes present liquid real vector spaces and a tentative category of analytic spaces as part of work toward analytic stacks, though the definition was later abandoned.
citing papers explorer
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Lectures on Condensed Mathematics
Lecture notes introducing condensed mathematics as a framework for topology in algebraic and analytic settings.
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The $p$-adic monodromy theorem over algebraic-affinoid algebras
The p-adic monodromy theorem holds for families of G_K-equivariant vector bundles over the Fargues-Fontaine curve parametrized by algebraic-affinoid Q_p-algebras, enabling classification of line bundles without freeness assumptions.
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Condensed Mathematics and Complex Geometry
Lecture notes use condensed mathematics to reprove finiteness of coherent cohomology, Serre duality, GAGA, and Hirzebruch-Riemann-Roch for compact complex manifolds.
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Lectures on Analytic Geometry
Lecture notes present liquid real vector spaces and a tentative category of analytic spaces as part of work toward analytic stacks, though the definition was later abandoned.