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A NOTE ON ENTROPY OF AUTO-EQUIVALENCES: LOWER BOUND AND THE CASE OF ORBIFOLD PROJECTIVE LINES
| Content Provider | Scilit |
|---|---|
| Author | Kikuta, Kohei Shiraishi, Yuuki Takahashi, Atsushi |
| Copyright Year | 2018 |
| Description | Entropy of categorical dynamics is defined by Dimitrov–Haiden–Katzarkov–Kontsevich. Motivated by the fundamental theorem of the topological entropy due to Gromov–Yomdin, it is natural to ask an equality between the entropy and the spectral radius of induced morphisms on the numerical Grothendieck group. In this paper, we add two results on this equality: the lower bound in a general setting and the equality for orbifold projective lines. |
| Related Links | http://arxiv.org/pdf/1703.07147 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AAEE0577207C01F8184FAF28FAAAB69C/S0027763018000211a.pdf/div-class-title-a-note-on-entropy-of-auto-equivalences-lower-bound-and-the-case-of-orbifold-projective-lines-div.pdf |
| ISSN | 00277630 |
| e-ISSN | 21526842 |
| DOI | 10.1017/nmj.2018.21 |
| Journal | Nagoya Mathematical Journal |
| Volume Number | 238 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2020-06-01 |
| Access Restriction | Open |
| Subject Keyword | Nagoya Mathematical Journal |
| Content Type | Text |
| Subject | Mathematics |
