References
- A. Bertram, L. Ein, and R. Lazarsfeld, Vanishing theorems, a theorem of Severi, and the equations defining projective varieties, J. Amer. Math. Soc. 4 (1991), no. 3, 587-602. https://doi.org/10.1090/S0894-0347-1991-1092845-5
- D. Bayer and D. Mumford, 1993. "hat can be computed in algebraic geometry-" pp. 1-48 in Computational algebraic geometry and commutative algebra(Cortona, 1991), Sympos. Math. 34, Cambridge Univ. Press, Cambridge.
- G. Caviglia and E. Sbarra, Characteristic-free bounds for the Castelnuovo-Mumford regularity, Compos. Math. 141 (2005), no. 6, 1365-1373. https://doi.org/10.1112/S0010437X05001600
- D. Eisenbud, Commutative Algebra with a view Toward Algebraic Geometry, no. 150, Springer-Velag New York, (1995).
- Eisenbud, D., 2005. The geometry of syzygies: A second course in commutative algebra and algebraic geometry, Graduate Texts in Mathematics, 229. Springer-Verlag, New York.
- D. Eisenbud and S. Goto, Linear free resolutions and minimal multiplicity, J. Algebra 88 (1984), 89-133. https://doi.org/10.1016/0021-8693(84)90092-9
- D. Eisenbud, M. Green, K. Hulek, and S. Popescu, Restriction linear syzygies: algebra and geometry, Compositio Math. 141 (2005), 1460-1478. https://doi.org/10.1112/S0010437X05001776
- M. Giusti, Some effectivity problems in polynomial ideal theory, EUROSAM 84, Lecture Notes in Computer Science 204 (1984), Springer-Verlag, 159-171.
- A. Galligo, Theoreme de division et stabilite en geometrie analytique locale, Ann. Inst. Fourier (Grenoble) 29 (1979), 107-184.
- D. Giaimo, On the Castelnuovo-Mumford regularity of connected curves, Trans. Amer. Math. Soc. 358 (2006), no. 1, 267-284 https://doi.org/10.1090/S0002-9947-05-03671-8
- L. Gruson, R. Lazarsfeld, and C. Peskine, On a theorem of Castelnuovo and the equationsndefining projective varieties, Inv. Math. 72 (1983), 491-506. https://doi.org/10.1007/BF01398398
- S. Kwak, Generic projections, the equations defining projective varieties and Castelnuovo regularity, Math. Z. 234, (2000), no. 3, 413-434. https://doi.org/10.1007/PL00004809
- S. Kwak and E. Park, Some effects of property Np on the higher normality and defining equations of nonlinearly normal varieties, J. Reine Angew. Math. 582 (2005), 87–105.
- R. Lazarsfeld, A sharp Castelnuovo bound for smooth surfaces, Duke Math. J. 55 (1987), no. 2, 423-429. https://doi.org/10.1215/S0012-7094-87-05523-2
- E. Mayr and A. Meyer, The complexity of the word problems for commutative semigroups and polynomial ideals, Adv. in Math. 46 (1982), no. 3, 305-329. https://doi.org/10.1016/0001-8708(82)90048-2
- D. Mumford, Lectures on Curves on an Algebraic Surface, Annals of Math. Studies 59, Princeton University Press, Princeton, NJ.
- A. Noma, A bound on the Castelnuovo-Mumford regularity for curves, Math. Ann. 322 (2002), 69-74. https://doi.org/10.1007/s002080100265
- I. Peeva and B. Sturmfels, Syzygies of codimension 2 lattice ideals, Math. Z. 229 (1998), no. 1, 163-194. https://doi.org/10.1007/PL00004645
- J. Stuckrad and W. Vogel, Castelnuovo's regularity and multiplicity, Math. Ann. 281 (1998), no. 3, 355-368. https://doi.org/10.1007/BF01457149