References
- Quillen DG. On the representation of hermitian forms as sums of squares. Invent Math. 1968;5:237–242. doi: 10.1007/BF01389773
- Catlin DW, D'Angelo JP. Positivity conditions for bihomogeneous polynomials. Math Res Lett. 1997;4(4):555–567. doi: 10.4310/MRL.1997.v4.n4.a11
- D'Angelo JP. Hermitian analogues of Hilbert's 17th problem. Adv Math. 2011;226(5):4607–4637. doi: 10.1016/j.aim.2010.12.013
- Drouot A, Zworski M. A quantitative version of Catlin-D'Angelo–Quillen theorem. Anal Math Phys. 2013;3(1):1–19. doi: 10.1007/s13324-012-0035-4
- To W-K, Yeung S-K. Effective isometric embeddings for certain hermitian holomorphic line bundles. J London Math Soc. 2006;2(73):607–624. doi: 10.1112/S0024610706022708
- D'Angelo JP. Inequlaities from complex analysis. Washington (DC): MAA; 2002. (Carus mathematical monographs).
- Marshall M. Positive polynomials and sums of squares. Providence, RI: American Mathematical Society; 2008. (Mathematical Surveys and Monographs; 146). MR2383959.
- Putinar M. Positive polynomials on compact semi-algebraic sets. Indiana Univ Math J. 1993;42(3):969–984. MR1254128. doi: 10.1512/iumj.1993.42.42045
- Scheiderer C. Positivity and sums of squares: a guide to recent results. In: Putinar M, Sullivant S, editors. Emerging applications of algebraic geometry. New York: Springer; 2009. p. 271–324. (The IMA volumes in mathematics and its applications; 149). MR2500469.
- D'Angelo JP. Several complex variables and the geometry of real hypersurfaces. Boca Raton (FL): CRC Press; 1993. (Studies in advanced mathematics).
- Grundmeier D, Kacmarcik JH. An application of Macaulay's estimate to sums of squares problems in several complex variables. Proc Amer Math Soc. 2015;143(4):1411–1422. MR3314056. doi: 10.1090/S0002-9939-2014-12367-7
- Grundmeier D, Lebl J. Initial monomial invariants of holomorphic maps. Math Z. 2016;282(1–2):371–387. MR3448385. doi: 10.1007/s00209-015-1543-3
- Grundmeier D, Lebl J, Vivas L. Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics. Math Ann. 2014;358(3–4):1059–1089. MR3175150. doi: 10.1007/s00208-013-0989-z
- Grundmeier D. Signature pairs for group-invariant Hermitian polynomials. Internat J Math. 2011;22(3):311–343. doi: 10.1142/S0129167X11006775
- Grundmeier DE. Group-invariant CR mappings [PhD Thesis]. ProQuest LLC, Ann Arbor, MI, 2011. University of Illinois at Urbana-Champaign. MR2949803.
- Eisenbud D. The geometry of syzygies. A second course in algebraic geometry and commutative algebra. New York: Springer-Verlag; 2005. (Graduate texts in mathematics; 229). MR2103875.
- Bruns W, Herzog J. Cohen-Macaulay rings. Cambridge: Cambridge University Press; 1993. (Cambridge studies in advanced mathematics; 39). MR1251956.
- D'Angelo JP. Complex variables analogues of Hilbert's seventeenth problem. Internat J Math. 2005;16(6):609–627. doi: 10.1142/S0129167X05002990
- Petkovšek M, Wilf HS, Zeilberger D. A=B. Wellesley, MA: A K Peters, Ltd.; 1996.