Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 59: Issue 3-4
A Remark on Nefness of Divisors on Surfaces of General Type
Authors:
Debojyoti Bhattacharya School of Mathematics, IISER Thiruvananthapuram, Maruthamala P.O., Vithura, Thiruvananthapuram, Kerala-695 551, India

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and
Joyentanuj Das School of Mathematics, IISER Thiruvananthapuram, Maruthamala P.O., Vithura, Thiruvananthapuram, Kerala-695 551, India

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Pages:
284–289
Online Publication Date:
10 Nov 2022
Publication Date:
14 Dec 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2022.01532
Keywords (English):
surface of general type; effective divsior; nef divisor; volume; cohomology
Restricted access

Let X be an irreducible complex projective variety of dimension n ≥ 1. Let D be a Cartier divisor on X such that Hi(X, OX (mD)) = 0 for m > 0 and for all i > 0, then it is not true in general that D is a nef divisor (cf. [4]). Also, in general, effective divisors on smooth surfaces are not necessarily nef (they are nef provided they are semiample). In this article, we show that, if X is a smooth surface of general type and C is a smooth hyperplane section of it, then for any non-zero effective divisor D on X satisfying H1(X, OX (mD)) = 0 for all m > C.KX, D is a nef divisor.

  • [1]

    abx. Two conditions on divisors on surfaces, MathOverflow. https://mathoverflow.net/questions/421900/two-conditions-on-divisors-on-surfaces (version: 2022-05-06).

    • Search Google Scholar
    • Export Citation
  • [2]

    I. Bauer, F. Catanese, and R. Pignatelli. Surfaces of general type with geometric genus zero: a survey. In Complex and differential geometry (pp. 1–48). Springer, Berlin, Heidelberg, 2011.

    • Search Google Scholar
    • Export Citation
  • [3]

    D. Bhattacharya. On initialized and ACM line bundles over a smooth sextic surface in ℙ3. Communications in Algebra, 50(12):5314–5344, 2022.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [4]

    T. de Fernex, A. Küronya, and R. Lazarsfeld. Higher cohomology of divisors on a projective variety. Mathematische Annalen, 337(2):443–455, 2007.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [5]

    F. J. Gallego, and B. P. Purnaprajna. Normal Presentation on Elliptic Ruled Surfaces. Journal of Algebra, 186(2):597–625, 1996.

  • [6]

    R. K. Lazarsfeld. Positivity in Algebraic Geometry I : Classical Setting: Line Bundles and Linear Series (Vol. 48). Springer, 2017.

  • [7]

    F. Polizzi. Volume of a divisor on a smooth projective surface, MathOverflow. https://math-overflow.net/questions/389889/volume-of-a-divisor-on-a-smooth-projective-surface (ver- sion: 2021-04-27).

    • Search Google Scholar
    • Export Citation
  • [8]

    K. Watanabe. The characterization of aCM line bundles on quintic hypersurfaces in ℙ3. In Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Vol. 91, No. 2, pp. 179–197). Springer Berlin Heidelberg, 2021.

    • Search Google Scholar
    • Export Citation
  • [9]

    K. Watanabe. The classification of ACM line bundles on quartic hypersurfaces in ℙ3. Geo-metriae Dedicata, 175(1):347–354 (2015).

  • [10]

    O. Zariski. The theorem of Riemann–Roch for high multiples of an effective divisor on an algebraic surface. Annals of Mathematics 76(3):560–615 (1962). .

    • Crossref
    • Search Google Scholar
    • Export Citation
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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896

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Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

Managing Editor

Gábor SÁGI (Rényi Institute of Mathematics)

Editorial Board

  • Imre BÁRÁNY (Rényi Institute of Mathematics)
  • Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
  • Péter CSIKVÁRI (ELTE, Budapest) 
  • Joshua GREENE (Boston College)
  • Penny HAXELL (University of Waterloo)
  • Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
  • Ron HOLZMAN (Technion, Haifa)
  • Satoru IWATA (University of Tokyo)
  • Tibor JORDÁN (ELTE, Budapest)
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  • Frédéric MEUNIER (École des Ponts ParisTech)
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  • Péter Pál PACH (BME, Budapest)
  • Andrew SUK (University of California, San Diego)
  • Zoltán SZABÓ (Princeton University)
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  • Gábor TARDOS (Rényi Institute of Mathematics)
  • Paul WOLLAN (University of Rome "La Sapienza")

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
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2022  
Web of Science  
Total Cites
WoS		 570
Journal Impact Factor 0.7
Rank by Impact Factor

Mathematics (Q3)
Impact Factor
without
Journal Self Cites		 0.7
5 Year
Impact Factor		 0.8
Journal Citation Indicator 0.65
Rank by Journal Citation Indicator

Mathematics (Q2)
Scimago  
Scimago
H-index		 26
Scimago
Journal Rank		 0.351
Scimago Quartile Score

Mathematics (Q3)
Scopus  
Scopus
Cite Score		 1.8
Scopus
CIte Score Rank		 General Mathematics 128/387 (67th PCTL)
Scopus
SNIP		 1.276

2021  
Web of Science  
Total Cites
WoS		 589
Journal Impact Factor 0,739
Rank by Impact Factor Mathematics 229/332
Impact Factor
without
Journal Self Cites		 0,710
5 Year
Impact Factor		 0,654
Journal Citation Indicator 0,57
Rank by Journal Citation Indicator Mathematics 287/474
Scimago  
Scimago
H-index		 26
Scimago
Journal Rank		 0,265
Scimago Quartile Score Mathematics (miscellaneous) (Q3)
Scopus  
Scopus
Cite Score		 1,3
Scopus
CIte Score Rank		 General Mathematics 193/391 (Q2)
Scopus
SNIP		 0,746

2020  
Total Cites 536
WoS
Journal
Impact Factor		 0,855
Rank by Mathematics 189/330 (Q3)
Impact Factor  
Impact Factor 0,826
without
Journal Self Cites
5 Year 1,703
Impact Factor
Journal  0,68
Citation Indicator  
Rank by Journal  Mathematics 230/470 (Q2)
Citation Indicator   
Citable 32
Items
Total 32
Articles
Total 0
Reviews
Scimago 24
H-index
Scimago 0,307
Journal Rank
Scimago Mathematics (miscellaneous) Q3
Quartile Score  
Scopus 139/130=1,1
Scite Score  
Scopus General Mathematics 204/378 (Q3)
Scite Score Rank  
Scopus 1,069
SNIP  
Days from  85
submission  
to acceptance  
Days from  123
acceptance  
to publication  
Acceptance 16%
Rate

2019  
Total Cites
WoS		 463
Impact Factor 0,468
Impact Factor
without
Journal Self Cites		 0,468
5 Year
Impact Factor		 0,413
Immediacy
Index		 0,135
Citable
Items		 37
Total
Articles		 37
Total
Reviews		 0
Cited
Half-Life		 21,4
Citing
Half-Life		 15,5
Eigenfactor
Score		 0,00039
Article Influence
Score		 0,196
% Articles
in
Citable Items		 100,00
Normalized
Eigenfactor		 0,04841
Average
IF
Percentile		 13,117
Scimago
H-index		 23
Scimago
Journal Rank		 0,234
Scopus
Scite Score		 76/104=0,7
Scopus
Scite Score Rank		 General Mathematics 247/368 (Q3)
Scopus
SNIP		 0,671
Acceptance
Rate		 14%

 

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Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation		 1966
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)

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