scholarly journals Boundedness of minimal partial du Val resolutions of canonical surface foliations

Author(s):  
Yen-An Chen
Keyword(s):  
1998 ◽  
Vol 09 (05) ◽  
pp. 623-640 ◽  
Author(s):  
VLADIMIR MAŞEK

We study a useful numerical invariant of normal surface singularities, introduced recently by T. Kawachi. Using this invariant, we give a quick proof of the (well-known) fact that all log-canonical surface singularities are either elliptic Gorenstein or rational (without assuming a priori that they are ℚ-Gorenstein). In Sec. 2 we prove effective results (stated in terms of Kawachi's invariant) regarding global generation of adjoint linear systems on normal surfaces with boundary. Such results can be used in proving effective estimates for global generation on singular threefolds. The theorem of Ein–Lazarsfeld and Kawamata, which says that the minimal center of log-canonical singularities is always normal, explains why the results proved here are relevant in that situation.


2019 ◽  
Vol 4 (1) ◽  
pp. 35
Author(s):  
Nicholas Twiner ◽  
Vera Lee-Schoenfeld

Despite Grewendorf’s (1988) well-known German binding data with the double-object verb zeigen ‘show’, which suggests that the direct object (DO) is generated higher than the indirect object (IO), this paper argues for the canonical surface order of IO>DO as base order. Highlighting the exceptional status of Grewendorf's examples, building on Featherston & Sternefeld’s (2003) quantitative acceptability rating study, and exploiting the fact that zeigen can also be used as inherently reflexive with idiomatic meaning, and we appeal to Bruening's (2010) theory of idiom formation as well as the Encyclopedia within Distributed Morphology (Marantz 1997, Embick & Noyer 2007) and propose a flexible Spell-Out mechanism within a derivational approach to binding (e.g. Hornstein 2001 and Zwart 2002) that can override narrow syntactic case licensing by realizing nominals with different morphological case.


2016 ◽  
Vol 4 (1) ◽  
pp. 53-97 ◽  
Author(s):  
David M. Goldstein

Enclitic distribution in Greek (and archaic Indo-European generally) is governed by a set of generalizations known as Wackernagel’s Law, according to which enclitics occur in “second position.” As has long been known, surface exceptions to Wackernagel’s Law in Homer are uncommon, but in Herodotus are far more frequent. Wackernagel himself attributed this difference to syntactic change: in Homer a single mechanism is responsible for second-position clitic distribution, while in Herodotus the old second-position rule competes with new placement rules. Although the nature of these innovative mechanisms has never been explicated, philologists have adopted this view with apparent unanimity. The central claim of this paper is that the alleged syntactic change is an illusion. What Wackernagel and others have observed in Homer and Herodotus is a difference in usage, not grammar. Specifically, Herodotus uses constructions that yield non-canonical surface patterns (i.e., the clitic is not “second” in its clause) more often than Homer. As the same generalizations capture the distribution of clitics in both Homer and Herodotus, there is no validity to the claim that Wackernagel’s Law is weaker in the classical period than in the archaic, or that there are new distributional rules at work.


Author(s):  
D. M. NEWNS ◽  
T. F. HEINZ ◽  
J. A. MISEWICH ◽  
MADS BRANDBYGE ◽  
PER HEDEGARD

2013 ◽  
Vol 85 (3) ◽  
pp. 1168-1180 ◽  
Author(s):  
Isabelle Dautriche ◽  
Alejandrina Cristia ◽  
Perrine Brusini ◽  
Sylvia Yuan ◽  
Cynthia Fisher ◽  
...  
Keyword(s):  

2015 ◽  
Vol 43 (18) ◽  
pp. 9039-9050 ◽  
Author(s):  
Pankaj Kumar ◽  
Pearl Magala ◽  
Kathryn R. Geiger-Schuller ◽  
Ananya Majumdar ◽  
Joel R. Tolman ◽  
...  
Keyword(s):  

Author(s):  
Morgan V Brown

Abstract Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary $\Delta $ of a log canonical pair $(X,\Delta )$ and also appear as limits of canonically polarized varieties in moduli theory. For certain three-fold pairs $(X,\Delta ),$ we show how to compute the PL homeomorphism type of the dual complex of a dlt minimal model directly from the normalization data of $\Delta $.


2010 ◽  
Vol 60 (2) ◽  
pp. 389-416 ◽  
Author(s):  
Trond Stølen Gustavsen ◽  
Runar Ile

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