Intersections of multicurves on small genus non-orientable surfaces

Invariants of Stable Maps between Closed Orientable Surfaces

Mathematics ◽

10.3390/math9030215 ◽

2021 ◽

Vol 9 (3) ◽

pp. 215

Author(s):

Catarina Mendes de Jesus S. ◽

Pantaleón D. Romero

Keyword(s):

Point Of View ◽

Stable Maps ◽

Smooth Maps ◽

Orientable Surfaces

In this paper, we will consider the problem of constructing stable maps between two closed orientable surfaces M and N with a given branch set of curves immersed on N. We will study, from a global point of view, the behavior of its families in different isotopies classes on the space of smooth maps. The main goal is to obtain different relationships between invariants. We will provide a new proof of Quine’s Theorem.

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Finite fields and the 1-chromatic number of orientable surfaces

Journal of Graph Theory ◽

10.1002/jgt.20417 ◽

2009 ◽

pp. n/a-n/a

Author(s):

Vladimir P. Korzhik

Keyword(s):

Chromatic Number ◽

Finite Fields ◽

Orientable Surfaces

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Graphs of stable maps between closed orientable surfaces

Computational and Applied Mathematics ◽

10.1007/s40314-016-0317-9 ◽

2016 ◽

Vol 36 (3) ◽

pp. 1185-1194 ◽

Cited By ~ 4

Author(s):

C. Mendes de Jesus

Keyword(s):

Stable Maps ◽

Orientable Surfaces

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A new synonym of Ptilagrostis yadongensis and a new record of Stipa bhutanica to the flora of China (Poaceae)

Phytotaxa ◽

10.11646/phytotaxa.272.1.7 ◽

2016 ◽

Vol 272 (1) ◽

pp. 94 ◽

Cited By ~ 2

Author(s):

ZHONG-SHUAI ZHANG ◽

XIANG-YUN ZHU ◽

LING-LU LI ◽

SHAN-WEN JIANG ◽

WEN-LI CHEN

Keyword(s):

North America ◽

New Record ◽

Tibet Plateau ◽

Southern Slope ◽

Chinese Journal ◽

Grass Family ◽

New Synonym ◽

Flora Of China ◽

Qinghai Tibet Plateau ◽

Small Genus

Ptilagrostis Grisebach (1852: 447) is a small genus of the grass family, including approximately 11 species (Wu & Phillips 2006, Barkworth 2007). It occurs in both Asia and North America with about eight species distributed in Qinghai-Tibet Plateau, its diversity center. Ptilagrostis yadongensis Keng & Tang (1985: 44) is one of the species that occurs in this region, which was described based on materials from Yadong, China, the southern slope of Himalayas. The paper was published in a Chinese journal, viz. Journal of Southwest Agriculural University, and had not been noticed until 2005 (Peterson et al. 2005, Wu & Phillips 2006). The author pointed out that P. yadongensis is distinguished from its morphological close, Ptilagrostis concinna (Hooker 1897: 230) Roshevitz (1934: 75) by linear panicles with fewer spikelets, longer and unequal glumes, and shorter and glabrous anthers.

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COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$

International Journal of Mathematics ◽

10.1142/s0129167x12500371 ◽

2012 ◽

Vol 23 (04) ◽

pp. 1250037 ◽

Cited By ~ 4

Author(s):

MICHELE BOLOGNESI ◽

SONIA BRIVIO

Keyword(s):

Moduli Spaces ◽

Vector Bundles ◽

Low Rank ◽

Coherent Systems ◽

Projective Varieties ◽

Complex Curve ◽

Smooth Complex ◽

Moduli Theory ◽

Modular Varieties ◽

Small Genus

Let C be an algebraic smooth complex curve of genus g > 1. The object of this paper is the study of the birational structure of certain moduli spaces of vector bundles and of coherent systems on C and the comparison of different type of notions of stability arising in moduli theory. Notably we show that in certain cases these moduli spaces are birationally equivalent to fibrations over simple projective varieties, whose fibers are GIT quotients (ℙr-1)rg// PGL (r), where r is the rank of the considered vector bundles. This allows us to compare different definitions of (semi-)stability (slope stability, α-stability, GIT stability) for vector bundles, coherent systems and point sets, and derive relations between them. In certain cases of vector bundles of low rank when C has small genus, our construction produces families of classical modular varieties contained in the Coble hypersurfaces.

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The southern Palearctic genus Enneastigma Stein (Diptera: Anthomyiidae): Taxonomy of Mediterranean species, phylogeny and ancestral areas analysis

Insect Systematics & Evolution ◽

10.1163/187631294x00144 ◽

1994 ◽

Vol 25 (4) ◽

pp. 361-375 ◽

Cited By ~ 6

Author(s):

Verner Michelsen

Keyword(s):

Cladistic Analysis ◽

Alternative Methods ◽

Mediterranean Species ◽

Species Phylogeny ◽

Males And Females ◽

The Mediterranean ◽

Small Genus

AbstractEnneastigma is a small genus of myopinine anthomyiids which comprises five species in the Mediterranean subregion (E. compressum Stein, E. rarum sp. n., E. rufitibia sp. n., E. triplex Loew, E. triseriatum Stein) and two species in SE Palearctic part of China (E. pilosiventrosum Fan & Chen, E. shanghaiensis Fan & Chen). All species appear to be univoltine and only active during the cooler parts of the season. The larvae may all be coprophagous. The Mediterranean species are revised with keys to males and females and illustrated descriptions of males, females and eggs. One lectotype is designated. A cladistic analysis was conducted which also included the Chinese species. This resulted in a single, most parsimonious phylogeny. The resulting area cladogram was used to assess the alternative methods for estimating ancestral areas as proposed recently by K. Bremer and F. Ronquist. It is concluded that the best results are obtained by using a refined Ronquist analysis.

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