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The Bestiary BOOK:
Calabi-Yau Manifolds --- A Bestiary for Physicists
(World Scientific, Singapore, 1992; hardcover) [ A ] [ B ]
+ 2nd, corrected and expanded edition
(World Scientific, Singapore, 1994; paperback) [ A ] [ WSci ] [ errata ]

for reviews, see: Physics Today, 6/93, p.93-94 (by E.Witten),
and Zentralblatt für Mathematik 773 (1993)#53002 (by J.D.Zund).
Cover photograph by Donna D'Fini.

An unsolicited opinion : “If you have ever wanted an explicit answer to the question, ‘What, exactly, is a Calabi-Yau manifold?’, this is the book you are looking for. Clear, far-ranging and full of brilliant insight, it is also a stylisitic masterpiece, which is rare among math and physics books.” (rick1138, 11-04-2003, 11:39 PM)
ERRATA (2nd, paperback edition from 1994):
“p.n” = page n, “P.n” = paragraph n, “l.n” = line n, n > 0 is counted downward , n < 0 upward; “S.n” = section n.

If you notice any kind of error in the Bestiary, please, let me know!

p. 15, l.–2, (end of S.0.4): “ understood n ” → “ understood modulo n ”. 
p. 32, Eq. (1.2.15): the right-hand side should have an overall minus.
p. 37, Eq. (1.3.19): the middle term should be “ = c(∑i Li) = ∏i c(Li) = ”. [Philippe Spindel, thanks!]
p. 39, Eq. (1.3.27): the “ 1/n! ” normalization of the integral as given is in agreement with Wirtinger’s theorem and inequality; see, e.g., the Wikipedia entry, p.31 of  Principles of Algebraic Geometry by P.Griffiths and J.Harris (John Wiley & Sons, 1978) or S.3.1, p.136 of  Intrduction to Complex Analysis by E.M.Chirka, P.Dolbeault, G.M.Khenkin and A.G. Vitushkin (Springer, 1997). However, it is also possible to omit the “ 1/n! ” normalization, re-normalizing the relation between the 2n-volume of a hypersurface in Eq. (1.3.28) and its Euler number in Eq. (1.3.28) from what is implied in the text. [Philippe Spindel, thanks!]
p. 44, Eqs. (1.6.1) and (1.6.1): “ onto ” → “ into ”. [Nick Warner, thanks!]
p. 50, Eq. (2.1.16): “ r +1 ”→ “ r =1 ” in the lower limit of the 1st summation. [Philippe Spindel, thanks!]
p. 83, footnote: The Kodaira-Nakano theorem is not applicable as needed. [Karol Palka, thanks!]
The Kodaira-Nakano theorem guarantees (3.2.1) for Fano 3-folds, but not for almost-Fano 3-folds that are not also Fano, the anti-canonical bundle of which is almost ample not ample. Just how I indended to remedy this 18 years ago and whether I did have a complete remedy, I don’t remember. However, Palka observes that the defining requirement (introductory sentence of section 3.2.1 [see the article with Paul Green]) is that “ |–KF| is without base points ”, which (when amended by K3≠0) is stronger than Miles Reid’s definition of weak Fano, for the latter of which already the vanishing theorem by Kawamata & Vieweg does guarantee (3.2.1). [Karol Palka, thanks!]
p. 86, l.1: the relative sign in the definition of genus is negative: “1+1/2C1n” → “1–1/2C1n”, as well as “1+1/2χE” → “1–1/2χE”.
p. 94, P.2, l.4: “consists some negative” → “consists of some negative”.
p. 97, last line of S.3.3.2: “ = (1,1|2,2,2,2) ” → “ = (1,1|2,2,2) ”.
p. 127, Paragraph after Lemma 5.1 (Delorme): The dimensions of the first six (weighted) projective spaces in this paragraph are one less than indicated.
Thus, “ P3(1:2:2) ≈ P3 ” → “  P2(1:2:2) ≈ P2 ”,   “ P4(1:2:4:4) ≈ P4(1:1:2:2) ” → “  P3(1:2:4:4) ≈ P3(1:1:2:2) ”  and   “ P5(2:3:6:12:18) ≈ P5(1:1:1:2:3) ” → “  P4(2:3:6:12:18) ≈ P4(1:1:1:2:3) ”.
p. 140, Eq. (5.5.1): “ z2 ” → “ z2 ”.
p. 315, in the definition of Analytic: “ an(z z0) ” → “ an(z z0)n
p. 345, title of Ref. [37]: “ Threefolds : and Introduction ” → “ Threefolds: an Introduction ”.

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