Log abundance theorem for threefolds

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August undefined, 2024

Witryna11 sty 2016 · More precisely, we establish the minimal model program and the abundance theorem for ℚ-factorial surfaces and for log canonical surfaces. Moreover, in the case where the base field is the algebraic closure of a finite field, we obtain the same results under much weaker assumptions. Keywords 14E30 14J10 Type …

Log abundance theorem for threefolds (vol 75, pg 99, 1994)

Witryna15 kwi 2004 · Log abundance theorem for threefolds (vol 75, pg 99, 1994) Authors: S Keel K Matsuki J McKernan No full-text available ... The Nonvanishing and … Witryna1 lip 1994 · Log abundance theorem for threefolds @article{Keel1994LogAT, title={Log abundance theorem for threefolds}, author={S. Keel and Kenji Matsuki … child care provider questions to ask parents

LOG ABUNDANCE THEOREM FOR THREEFOLDS

WitrynaSince D = K X + D is nef, by the log-abundance for threefolds [KMM94, KMM04], the linear system associated to some multiple of D is free, so that it defines an algebraic fiber space structure... Witryna1 gru 2024 · We also show the log abundance conjecture for threefolds over k when the nef dimension is not maximal, and the base point free theorem for threefolds … Witrynaabundance conjecture for threefolds (cf.Kawamata[5]). In our log(arithmic) version, a special attention has to be paid to the case where X has a structure of a uniruled … gotl golf course

On abundance theorem for semi log canonical threefolds - Kyoto U

Log abundance theorem for threefolds

Witryna1 lis 2016 · We prove the abundance theorem for log canonical n-folds such that the boundary divisor is big assuming the abundance conjecture for log canonical (n - 1)-folds. We also discuss the log... WitrynaWe prove the finiteness of log pluricanonical representations for projective log canonical pairs with semi-ample log canonical divisor. As a corollary, we obtain that the log …

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Witryna@MISC{Matsuki03“logabundance, author = {Kenji Matsuki}, title = {“Log Abundance Theorem for Threefolds ” by Sean Keel, Kenji Matsuki, and}, year = {2003}} Share. … WitrynaFlips and abundance for algebraic threefolds - A summer seminar at the University of Utah (Salt Lake City, 1991) ... Abundance Theorem for Minimal Three-folds, Inv. …

WitrynaLog abundance theorem for threefolds S. Keel, K. Matsuki, J. McKernan Mathematics 1994 137 Save Alert Introduction to the Minimal Model Problem Y. Kawamata, K. Matsuda, K. Matsuki Mathematics 1987 1,196 PDF Save Alert On the length of an extremal rational curve Y. Kawamata Mathematics 1991 167 Save Alert Witryna20 lut 2024 · In this article we prove two cases of the abundance conjecture for 3-folds in characteristic $$p>5$$p>5: (i) $$ (X, \Delta )$$ (X,Δ) is klt and $$\kappa (X, K_X+\Delta )=1$$κ (X,KX+Δ)=1, and (ii) $$ (X,… Expand 15 PDF On the canonical bundle formula and log abundance in positive characteristic J. Witaszek Mathematics …

WitrynaFor the proof, we use Fujino’s abundance theorem for semi log canonical threefolds. 1. Introduction In this paper every variety is proper over the ﬁeld C of complex numbers. We follow the notation and terminology of [Utah]. Let X be a normal algebraic variety and ∆ = P d i∆ i a Q-divisor with 0 ≤d i ≤1 on X such that the log ... Witryna13 sty 2024 · In this paper, we establish a vanishing theorem of Nadel type for the Witt multiplier ideals on threefolds over perfect fields of characteristic larger than five. As an application, if a projective normal threefold over Fq is not klt and its canonical divisor is anti-ample, then the number of the rational points on the klt-locus is divisible by q.

WitrynaCorrections to ``Log abundance theorem for threefolds'' Article Apr 2004 Sean Keel Kenji Matsuki James McKernan In Section 6 of our paper [Duke Math. J. 75, 99–119 (1994; Zbl 0818.14007)], there...

Witryna10 paź 2024 · We prove that many of the results of the log minimal model program hold for threefolds over fields of characteristic which are not necessarily perfect. This includes the existence of flips, the cone theorem, the contraction theorem for birational extremal rays and the existence of log minimal models. childcare provider registration numberWitrynaLog abundance theorem for threefolds. Duke Math. J., 75 (1):99-119, 1994. [13] Kenji Matsuki. Termination of flops for 4-folds. Amer. J. Math., 113 (5):835-859, 1991. [14] Kenji Matsuki. An approach to the abundance conjecture for 3-folds. Duke Math. J., 61 (1):207-220, 1990. [15] Yujiro Kawamata, Katsumi Matsuda, and Kenji Matsuki. childcare provider referral salfordWitryna17 lis 2024 · We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than five. As a consequence, we … child care provider payWitrynaShepherd-Barron, N., Miyaoka’s theorems on the generic seminegativity of T X and on the kodaira dimension of minimal regular threefolds, in Flips and abundance for algebraic threefolds ed. Kollár, J. (Société Mathématique de France, 1992), 103 – 114.Google Scholar got liability on financed carWitryna9 mar 2024 · Our strategy is similar to the proof of the log abundance theorem for projective threefolds as presented in [ 32] and [ 30 ]. Note that the proofs in [ 30, 32] make rigorous use of the log minimal model program for various reduction steps. childcare provider rate sheetWitrynathe log abundance theorem for threefolds is consid-ered to be the ﬁrst step towards a proof of the abun-dance conjecture in dimension four. We believe that the … child care provider resume objective examplesWitryna“LOG ABUNDANCE THEOREM FOR THREEFOLDS” KenjiMatsuki Dr. Qihong Xie of Tokyo University points out that in Chapter 6 of the paper “Log Abundance Theorem for Threefolds” by Sean Keel, Kenji Matsuki, and James McKernan, Duke Math. J. Vol. 75 No. 1 (1994), 99-119, there are several crucial mistakes and misleading statements. gotlib scout