In mathematics, a Raynaud surface is a particular kind of algebraic surface that was introduced in William E. Lang (1979) and named for Michel Raynaud (1978). To be precise, a Raynaud surface is a quasi-elliptic surface over an algebraic curve of genus g greater than 1, such that all fibers are irreducible and the fibration has a section. The Kodaira vanishing theorem fails for such surfaces; in other words the Kodaira theorem, valid in algebraic geometry over the complex numbers, has such surfaces as counterexamples, and these can only exist in characteristic p.
Generalized Raynaud surfaces were introduced in (Lang 1983), and give examples of surfaces of general type with global vector fields.
mathematics, a Raynaudsurface is a particular kind of algebraic surface that was introduced in William E. Lang (1979) and named for Michel Raynaud (1978). To...
Raynaud syndrome, also known as Raynaud's phenomenon, is a medical condition in which the spasm of small arteries causes episodes of reduced blood flow...
Raynaud or Reynaud is a surname. Notable people with the surname include: Alexis Raynaud (born 1994), French sport shooter Alix Raynaud (born 1974), French...
Michel Raynaud (French: [ʁɛno]; 16 June 1938 – 10 March 2018) was a French mathematician working in algebraic geometry and a professor at Paris-Sud 11...
disorder. The acronym "CREST" refers to the five main features: calcinosis, Raynaud's phenomenon, esophageal dysmotility, sclerodactyly, and telangiectasia...
modification this idea that occurs in finite characteristic Raynaudsurfaces and generalized Raynaudsurfaces, certain quasielliptic counterexamples to the conclusions...
differential). Raynaud (1978) showed that this result does not always hold over fields of characteristic p > 0, and in particular fails for Raynaudsurfaces. Later...
records". Pangaea. doi:10.1594/PANGAEA.704257. Petit, J. R.; Jouzel, J.; Raynaud, D.; Barkov, N. I.; Barnola, J. M.; Basile, I.; Bender, M.; Chappellaz...
around the globe. Raynaud's phenomenon is the exaggerated response of cutaneous circulation to exposure to cold ambient temperatures. ‘Raynaud attacks’, which...
0/ASENS_1979_4_12_4_501_0.pdf. (coed. with Jean Giraud and Michel Raynaud), Surfaces algébriques, Séminaire de géométrie algébrique d'Orsay 1976–78, Lecture...
disease. Oral L-arginine has been shown to reverse digital necrosis in Raynaud syndrome L-arginine is recognized as safe (GRAS-status) at intakes of up...
normal surface for which Kodaira vanishing fails. The first example of a smooth surface for which Kodaira vanishing fails was given by Michel Raynaud in 1978...
contribute to tissue ischemia, which can be observed in conditions like Raynaud's disease. Understanding the pathology of vasoconstriction is crucial for...
Technique for Quantifying Microcirculatory Flow in Patients with Primary Raynaud's Phenomenon and Systemic Sclerosis". Microvascular Research. 57 (3): 284–291...
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