Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Derived invariants from topological Hochschild homology. |
| Συγγραφείς: |
Antieau, Benjamin, Bragg, Daniel |
| Πηγή: |
Algebraic Geometry; May2022, Vol. 9 Issue 3, p364-399, 36p |
| Θεματικοί όροι: |
Homology theory, Direction field (Mathematics), Cohomology theory, Hodge theory, Spectral sequences (Mathematics) |
| Περίληψη: |
We consider derived invariants of varieties in positive characteristic arising from topological Hochschild homology. Using theory developed by Ekedahl and Illusie{Raynaud in their study of the slope spectral sequence, we examine the behavior under derived equivalences of various p-adic quantities related to Hodge - Witt and crystalline cohomology groups, including slope numbers, domino numbers, and Hodge - Witt numbers. As a consequence, we obtain restrictions on the Hodge numbers of derived equivalent varieties, partially extending results of Popa{Schnell to positive characteristic. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: |
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