264:-topology, which is similar in its definition, except that only valuation rings of rank ≤ 1 are considered in the definition. A variant of this topology, with an analogous relationship that the h-topology has with the
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149:-covers include faithfully flat maps, proper surjective maps. In particular, any Zariski covering is a
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Bhatt, Bhargav; Scholze, Peter (2017), "Projectivity of the Witt vector affine
Grassmannian",
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Rydh, David (2010), "Submersions and effective descent of étale morphisms",
17:
272:-topology was later introduced by Elmanto, Hoyois, Iwasa and Kelly (2020).
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Elmanto, Elden; Hoyois, Marc; Iwasa, Ryomei; Kelly, Shane (2020-09-23).
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is a valuation ring, there is an extension (of valuation rings)
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of quasi-compact, quasi-separated schemes such that for any map
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whose covers are characterized by lifting maps from
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248:h-topology, relation to the v-topology
71:A universally subtrusive map is a map
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196:-coverings. In fact, the perfection
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47:. This topology was introduced by
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452:Prisms and Prismatic Cohomology
37:universally subtrusive topology
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27:In mathematics, especially in
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238:of a scheme is a v-covering.
231:{\displaystyle X_{perf}\to X}
185:{\displaystyle X_{red}\to X}
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343:10.1007/s00208-020-02083-5
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118:{\displaystyle V\subset W}
55:, who introduced the name
53:Bhatt & Scholze (2017)
421:10.1007/s00222-016-0710-4
276:Bhatt & Scholze (2019
258:Bhatt & Mathew (2018)
391:Inventiones Mathematicae
470:Bull. Soc. Math. France
51:and studied further by
282:of an arc covering of
242:Voevodsky's h topology
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63:stands for valuation.
325:Mathematische Annalen
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41:Grothendieck topology
278:, §8) show that the
260:have introduced the
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516:Selecta Mathematica
413:2017InMat.209..329B
35:(also known as the
560:Algebraic geometry
528:10.1007/BF01587941
492:10.24033/bsmf.2588
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29:algebraic geometry
59:-topology, where
16:(Redirected from
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125:and a map Spec
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45:valuation rings
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522:(1): 111–153,
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253:Arc topology
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145:Examples of
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18:Arc topology
49:Rydh (2010)
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334:2002.11647
306:References
91:) →
67:Definition
33:v-topology
483:0710.2488
437:119123398
359:216553105
351:1432-1807
223:→
177:→
110:⊂
554:Category
508:17484591
450:(2019),
294:See also
141:Examples
133:lifting
129:→
95:, where
87:: Spec (
79:→
544:9620683
536:1403354
500:2679038
429:3674218
409:Bibcode
39:) is a
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286:is an
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540:S2CID
504:S2CID
478:arXiv
456:arXiv
433:S2CID
399:arXiv
377:arXiv
355:S2CID
329:arXiv
270:cdarc
347:ISSN
246:See
524:doi
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417:doi
395:209
339:doi
262:arc
556::
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532:MR
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496:MR
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107:V
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61:v
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20:)
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