Zobrazeno 1 - 10
of 151
pro vyhledávání: '"FAN Yu-Wei"'
Autor:
Fan, Yu-Wei
We show that the space of Bridgeland stability conditions equipped with the canonical metric is, in general, not a length space, thereby providing a negative answer to a question posed by Kikuta.
Externí odkaz:
http://arxiv.org/abs/2412.04777
Autor:
Fan, Yu-Wei, Lai, Kuan-Wen
We give counting formulas for the number of Fourier-Mukai partners of the K3 category of a very general special cubic fourfold.
Comment: 9 pages. Comments are welcome!
Comment: 9 pages. Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2307.14486
Autor:
Fan, Yu-Wei
The shifting numbers measure the asymptotic amount by which an endofunctor of a triangulated category translates inside the category, and are analogous to Poincare translation numbers that are widely used in dynamical systems. Motivated by this analo
Externí odkaz:
http://arxiv.org/abs/2306.13330
Autor:
Fan, Yu-Wei, Lai, Kuan-Wen
We prove that all nontrivial finite subgroups of derived automorphisms of K3 surfaces of Picard number one have order two and give formulas for the numbers of their conjugacy classes. We also obtain a similar result for the subgroups which are finite
Externí odkaz:
http://arxiv.org/abs/2302.12663
Publikováno v:
Geom Dedicata 217, 89 (2023)
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded lengths, we study generalizations of such problems for K3 surfaces. In one generalization, we give a result regarding the upper bound on the asymptotic
Externí odkaz:
http://arxiv.org/abs/2109.13824
Autor:
Fan, Yu-Wei, Kanazawa, Atsushi
We investigate the complex and K\"ahler attractor mechanisms of moduli spaces of Calabi-Yau 3-folds. The complex attractor mechanism was previously studied by Ferrara-Kallosh-Strominger, Moore and others in string theory. It is concerned with the min
Externí odkaz:
http://arxiv.org/abs/2108.07262
Autor:
Fan, Yu-Wei, Whang, Junho Peter
Moduli spaces of points on $n$-spheres carry natural actions of braid groups. For $n=0$, $1$, and $3$, we prove that these symmetries extend to actions of mapping class groups of positive genus surfaces, by establishing exceptional isomorphisms with
Externí odkaz:
http://arxiv.org/abs/2009.07104
Autor:
Fan, Yu-Wei, Filip, Simion
We introduce invariants, called shifting numbers, that measure the asymptotic amount by which an autoequivalence of a triangulated category translates inside the category. The invariants are analogous to Poincare translation numbers that are widely u
Externí odkaz:
http://arxiv.org/abs/2008.06159
Publikováno v:
Advances in Mathematics 383 (2021) 107655
For classical dynamical systems, the polynomial entropy serves as a refined invariant of the topological entropy. In the setting of categorical dynamical systems, that is, triangulated categories endowed with an endofunctor, we develop the theory of
Externí odkaz:
http://arxiv.org/abs/2003.14224
Autor:
Fan, Yu-Wei, Lai, Kuan-Wen
Are Fourier-Mukai equivalent cubic fourfolds birationally equivalent? We obtain an affirmative answer to this question for very general cubic fourfolds of discriminant 20, where we produce birational maps via the Cremona transformation defined by the
Externí odkaz:
http://arxiv.org/abs/2003.00366