arXiv Open Access 2016

Entropy in the category of perfect complexes with cohomology of finite length

Mahdi Majidi-Zolbanin Nikita Miasnikov

Lihat Sumber

Abstrak

Local and category-theoretical entropies associated with an endomorphism of finite length (i.e., with zero-dimensional closed fiber) of a commutative Noetherian local ring are compared. Local entropy is shown to be less than or equal to category-theoretical entropy. The two entropies are shown to be equal when the ring is regular, and also for the Frobenius endomorphism of a complete local ring of positive characteristic. Furthermore, given a flat morphism of Cohen-Macaulay local rings endowed with compatible endomorphisms of finite length, it is shown that local entropy is "additive". Finally, over a ring that is a homomorphic image of a regular local ring, a formula for local entropy in terms of an asymptotic partial Euler characteristic is given.

Topik & Kata Kunci

math.AC math.AG math.CT

Penulis (2)

Mahdi Majidi-Zolbanin

Nikita Miasnikov

Format Sitasi

APA MLA BibTeX

Majidi-Zolbanin, M., Miasnikov, N. (2016). Entropy in the category of perfect complexes with cohomology of finite length. https://arxiv.org/abs/1601.01064

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓