Note on holomorphic Morse inequalities tensoring with a coherent sheaf
Xiaojun Wu
TL;DR
This paper explores different versions of holomorphic Morse inequalities when tensoring with a coherent sheaf, providing insights into their behavior and potential applications in complex geometry.
Contribution
It introduces new variants of holomorphic Morse inequalities that incorporate tensoring with coherent sheaves, extending classical results.
Findings
Established multiple versions of Morse inequalities with coherent sheaves
Extended classical inequalities to more general sheaf contexts
Provided theoretical framework for further research
Abstract
In this note, we show various versions of holomorphic Morse inequalities tensoring with a coherent sheaf.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Nonlinear Waves and Solitons · Polynomial and algebraic computation