De rham-witt complex
WebWe review the main definitions and properties of the saturated de Rham–Witt complexes constructed by B. Bhatt, J. Lurie, and A. Mathew. A few complements are added, … WebFeb 26, 2011 · The third article is a masterful summary of the main results of the de Rham-Witt complex. 2) Mazur-Messing Lecture Notes (excellent introduction to one …
De rham-witt complex
Did you know?
WebWe extend the results of Deligne and Illusie on liftings modulo $p^2$ and decompositions of the de Rham complex in several ways. We show that for a smooth scheme $X ... Weba complex resembling the de Rham{Witt complex. We show (Theorem 3.11) that up to (q1=p1 1)-torsion, the p-adic completion of this complex depends only on the p-adic completion of A[ p1] (where n denotes a primitive nth root of unity), with no requirement for a lift of Frobenius or a choice of co-ordinates. The main idea is to show
WebMay 27, 2024 · This complex is the natural generalization to -algebras of the de Rham–Witt complex for -algebras of Bloch–Deligne–Illusie [L. Illusie, Ann. Sci. École Norm. Sup. 12 (4) (1979) 501–661 ... WebDirections / Campus Map. Wilmington Campus Map (PDF) George Campus. Delaware Technical Community College. 300 N. Orange St. Wilmington, Delaware 19801. …
WebWe construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of . It takes values in a mixed-characteristic analogue of Dieudonné modules, which was previously defined by Fargues as… WebWe already mentioned that Illusie constructed a complex (WmΩ j X/k,d), the de Rham–Witt complex, and that it coincides with the de Rham complex if m= 1. This complex gives rise to spectral sequences for all m≥1 Ei,j 1:= H j(X,W mΩ i X/k) ⇒H i+j cris (X/Wm(k)). For m= 1, this is the Fro¨licher spectral sequence. In the limit m→∞ ...
WebJun 15, 2010 · This paper gives a new and direct construction of the multi-prime big de Rham-Witt complex which is defined for every commutative and unital ring; the original construction by the author and...
Webde Rham-Witt comparison theorem (Theorem 6.8) and also Theorem 6.10, a version of the Deligne-Illusie theorem for the saturated de Rham-Witt complex, in a logarithmic context. In the last section we discuss the Nygaard ltration. We begin with a gen-eral de nition, based on the \abstract " construction of Mazur [17], which is chester street residence royal oakWebOverconvergent de Rham–Witt cohomology was studied in [1]. It was shown there that, rationally, it agreed with Monsky–Washnitzer cohomology. Conditions were given on the nonsingular affine variety X under which the Monsky-Washnitzer cohomology groups were isomorphic to the integral overconvergent de Rham-Witt cohomology groups [1, … good places to buy bedspreadsWebFeb 28, 2024 · Later work of Bloch, Deligne, and Illusie showed that crystalline cohomology could be computed using an explicit chain complex, called the de Rham-Witt complex. In this talk, I'll give an overview of some of these ideas and sketch an alternative construction of the de Rham-Witt complex (joint work with Bhargav Bhatt and Akhil Mathew). chester studio singersWebNov 8, 2024 · The following theorem, which is our main computational tool, shows how the operation of saturation “cleans” the pathologies of the de Rham complex of a toroidal monoid. This result is enough to show that the saturated de Rham–Witt complex of schemes with toric singularities in the sense of [ 15] is well-behaved. chester street residence mihttp://www-math.mit.edu/~larsh/papers/s04/drw.pdf chester street residence royal oak miWebthe de Rham-Witt complex plays the fundamental role, rather than V, which simpli es the relevant identities. Finally, we mention a more highbrow motivation of W ∗ X, which we … good places to buy baby dressesWebOct 20, 2014 · Cuntz and Deninger defined the relative de Rham-Witt complex in arbitrary truncated sets by a different approach so that the big and the p-isotypical theories are covered ( [CD14]). It would be an ... chester street shrewsbury sy1 1pa