Principal parts of line bundles on toric varieties

David Perkinson

Compositio Mathematica (1996)

  • Volume: 104, Issue: 1, page 27-39
  • ISSN: 0010-437X

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Perkinson, David. "Principal parts of line bundles on toric varieties." Compositio Mathematica 104.1 (1996): 27-39. <http://eudml.org/doc/90477>.

@article{Perkinson1996,
author = {Perkinson, David},
journal = {Compositio Mathematica},
keywords = {inflections; Weierstrass points; homogeneous coordinates; Euler sequence; toric variety},
language = {eng},
number = {1},
pages = {27-39},
publisher = {Kluwer Academic Publishers},
title = {Principal parts of line bundles on toric varieties},
url = {http://eudml.org/doc/90477},
volume = {104},
year = {1996},
}

TY - JOUR
AU - Perkinson, David
TI - Principal parts of line bundles on toric varieties
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 104
IS - 1
SP - 27
EP - 39
LA - eng
KW - inflections; Weierstrass points; homogeneous coordinates; Euler sequence; toric variety
UR - http://eudml.org/doc/90477
ER -

References

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  1. 1 Batyrev, V. and Cox, D.: On the Hodge Structure of Projective Hypersurfaces in Toric Varieties, Duke Mathematical Journal75(2) (1994), 293-338. Zbl0851.14021MR1290195
  2. 2 Cox, D.: The Homogeneous Coordinate Ring of a Toric Variety, to appear in J. Alg. Geom. Zbl0846.14032MR1299003
  3. 3 Fulton, W.: Introduction to Toric Varieties, Annals of Math. Studies, 131Princeton University Press, 1993. Zbl0813.14039MR1234037
  4. 4 Grothendieck, A.: EGA (4), Publ. Math. IHES32 (1967). Zbl0153.22301
  5. 5 Kleiman, S.: The enumerative theory of singularities, Real and complex singularities, Oslo 1976, Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands, (1977), 297-396. Zbl0385.14018MR568897
  6. 6 Laksov, D. and Thorup, A.: Weierstrass Points on Schemes, preprint, 1994. Zbl0811.14036MR1316575
  7. 7 Musson, A.: Differential operators on toric varieties, J. Pure and Appl. Alg. 95 (1994), 303-315. Zbl0824.14044MR1295963
  8. 8 Oda, T.: Convex Bodies in Algebraic Geometry, Springer-Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete3. Folge, Band 15, 1988. Zbl0628.52002MR922894
  9. 9 Piene, R.: Numerical characters of a curve in projective n-space, Real and complex singularities, Oslo 1976, Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands, (1977), 475-495. Zbl0375.14017MR506323
  10. 10 Piene, R. and Sacchiero, G.: Duality for Rational Normal Scrolls, Comm. in Alg.12(9) (1984), 1041-1066. Zbl0539.14027MR738534
  11. 11 Perkinson, D.: Curves in Grassmannians, Trans. AMS347(9) (1995), 3179-3246. Zbl0856.14014MR1308020
  12. 12 Perkinson, D.: Inflections of Toric Varieties, Matematisk Institutt, University of Oslo, Norway, preprint (1994). Zbl1085.14516MR1786502

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